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Finding the Fourth Proportional to 1,240.75, 1,861.08 and 419.01

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Solution

The fourth proportional to 1,240.75, 1,861.08 and 419.01 is: 628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.75 : 1,861.08 = 419.01 : x
  2. Step 2: Convert to fraction form
    1,240.75/1,861.08 = 419.01/x
  3. Step 3: Cross multiply
    1,240.75x = 1,861.08 × 419.01
  4. Step 4: Simplify right side
    1,240.75x = 779,811.13
  5. Step 5: Solve for x
    x = 779,811.13/1,240.75
  6. Step 6: Final answer
    x = 628.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.