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Finding the Fourth Proportional to 532.45, 735.18 and 392.77

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Solution

The fourth proportional to 532.45, 735.18 and 392.77 is: 542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.45 : 735.18 = 392.77 : x
  2. Step 2: Convert to fraction form
    532.45/735.18 = 392.77/x
  3. Step 3: Cross multiply
    532.45x = 735.18 × 392.77
  4. Step 4: Simplify right side
    532.45x = 288,756.65
  5. Step 5: Solve for x
    x = 288,756.65/532.45
  6. Step 6: Final answer
    x = 542.32

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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.