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Finding the Fourth Proportional to 532.50, 735.27 and 422.55

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Solution

The fourth proportional to 532.50, 735.27 and 422.55 is: 583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 735.27 = 422.55 : x
  2. Step 2: Convert to fraction form
    532.50/735.27 = 422.55/x
  3. Step 3: Cross multiply
    532.50x = 735.27 × 422.55
  4. Step 4: Simplify right side
    532.50x = 310,688.34
  5. Step 5: Solve for x
    x = 310,688.34/532.50
  6. Step 6: Final answer
    x = 583.45

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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.