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Finding the Fourth Proportional to 532.54, 735.42 and 421.66

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Solution

The fourth proportional to 532.54, 735.42 and 421.66 is: 582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.54 : 735.42 = 421.66 : x
  2. Step 2: Convert to fraction form
    532.54/735.42 = 421.66/x
  3. Step 3: Cross multiply
    532.54x = 735.42 × 421.66
  4. Step 4: Simplify right side
    532.54x = 310,097.20
  5. Step 5: Solve for x
    x = 310,097.20/532.54
  6. Step 6: Final answer
    x = 582.30

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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.