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Finding the Fourth Proportional to 532.98, 735.46 and 393.17

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Solution

The fourth proportional to 532.98, 735.46 and 393.17 is: 542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 735.46 = 393.17 : x
  2. Step 2: Convert to fraction form
    532.98/735.46 = 393.17/x
  3. Step 3: Cross multiply
    532.98x = 735.46 × 393.17
  4. Step 4: Simplify right side
    532.98x = 289,158.84
  5. Step 5: Solve for x
    x = 289,158.84/532.98
  6. Step 6: Final answer
    x = 542.53

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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.