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Finding the Fourth Proportional to 534.56, 738.08 and 379.52

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Solution

The fourth proportional to 534.56, 738.08 and 379.52 is: 524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.56 : 738.08 = 379.52 : x
  2. Step 2: Convert to fraction form
    534.56/738.08 = 379.52/x
  3. Step 3: Cross multiply
    534.56x = 738.08 × 379.52
  4. Step 4: Simplify right side
    534.56x = 280,116.12
  5. Step 5: Solve for x
    x = 280,116.12/534.56
  6. Step 6: Final answer
    x = 524.01

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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.