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Finding the Fourth Proportional to 534.79, 738.35 and 403.57

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Solution

The fourth proportional to 534.79, 738.35 and 403.57 is: 557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.79 : 738.35 = 403.57 : x
  2. Step 2: Convert to fraction form
    534.79/738.35 = 403.57/x
  3. Step 3: Cross multiply
    534.79x = 738.35 × 403.57
  4. Step 4: Simplify right side
    534.79x = 297,975.91
  5. Step 5: Solve for x
    x = 297,975.91/534.79
  6. Step 6: Final answer
    x = 557.18

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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.