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Finding the Fourth Proportional to 534.48, 738.02 and 507.30

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Solution

The fourth proportional to 534.48, 738.02 and 507.30 is: 700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 738.02 = 507.30 : x
  2. Step 2: Convert to fraction form
    534.48/738.02 = 507.30/x
  3. Step 3: Cross multiply
    534.48x = 738.02 × 507.30
  4. Step 4: Simplify right side
    534.48x = 374,397.55
  5. Step 5: Solve for x
    x = 374,397.55/534.48
  6. Step 6: Final answer
    x = 700.49

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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.