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Finding the Fourth Proportional to 532.88, 734.65 and 355.85

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Solution

The fourth proportional to 532.88, 734.65 and 355.85 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 734.65 = 355.85 : x
  2. Step 2: Convert to fraction form
    532.88/734.65 = 355.85/x
  3. Step 3: Cross multiply
    532.88x = 734.65 × 355.85
  4. Step 4: Simplify right side
    532.88x = 261,420.64
  5. Step 5: Solve for x
    x = 261,420.64/532.88
  6. Step 6: Final answer
    x = 490.59

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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.