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Finding the Fourth Proportional to 1,503.01, 2,074.08 and 830.79

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Solution

The fourth proportional to 1,503.01, 2,074.08 and 830.79 is: 1,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.01 : 2,074.08 = 830.79 : x
  2. Step 2: Convert to fraction form
    1,503.01/2,074.08 = 830.79/x
  3. Step 3: Cross multiply
    1,503.01x = 2,074.08 × 830.79
  4. Step 4: Simplify right side
    1,503.01x = 1,723,124.93
  5. Step 5: Solve for x
    x = 1,723,124.93/1,503.01
  6. Step 6: Final answer
    x = 1,146.45

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.