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Finding the Fourth Proportional to 742.29, 1,113.55 and 538.40

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Solution

The fourth proportional to 742.29, 1,113.55 and 538.40 is: 807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.29 : 1,113.55 = 538.40 : x
  2. Step 2: Convert to fraction form
    742.29/1,113.55 = 538.40/x
  3. Step 3: Cross multiply
    742.29x = 1,113.55 × 538.40
  4. Step 4: Simplify right side
    742.29x = 599,530.49
  5. Step 5: Solve for x
    x = 599,530.49/742.29
  6. Step 6: Final answer
    x = 807.68

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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.