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Finding the Fourth Proportional to 532.20, 735.44 and 400.98

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Solution

The fourth proportional to 532.20, 735.44 and 400.98 is: 554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.20 : 735.44 = 400.98 : x
  2. Step 2: Convert to fraction form
    532.20/735.44 = 400.98/x
  3. Step 3: Cross multiply
    532.20x = 735.44 × 400.98
  4. Step 4: Simplify right side
    532.20x = 294,896.73
  5. Step 5: Solve for x
    x = 294,896.73/532.20
  6. Step 6: Final answer
    x = 554.11

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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.