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Finding the Fourth Proportional to 873.75, 1,310.20 and 411.14

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Solution

The fourth proportional to 873.75, 1,310.20 and 411.14 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.75 : 1,310.20 = 411.14 : x
  2. Step 2: Convert to fraction form
    873.75/1,310.20 = 411.14/x
  3. Step 3: Cross multiply
    873.75x = 1,310.20 × 411.14
  4. Step 4: Simplify right side
    873.75x = 538,669.08
  5. Step 5: Solve for x
    x = 538,669.08/873.75
  6. Step 6: Final answer
    x = 616.50

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.