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Finding the Fourth Proportional to 534.94, 738.68 and 517.53

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Solution

The fourth proportional to 534.94, 738.68 and 517.53 is: 714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.94 : 738.68 = 517.53 : x
  2. Step 2: Convert to fraction form
    534.94/738.68 = 517.53/x
  3. Step 3: Cross multiply
    534.94x = 738.68 × 517.53
  4. Step 4: Simplify right side
    534.94x = 382,289.06
  5. Step 5: Solve for x
    x = 382,289.06/534.94
  6. Step 6: Final answer
    x = 714.64

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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.