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Finding the Fourth Proportional to 432.93, 652.31 and 391.85

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Solution

The fourth proportional to 432.93, 652.31 and 391.85 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.93 : 652.31 = 391.85 : x
  2. Step 2: Convert to fraction form
    432.93/652.31 = 391.85/x
  3. Step 3: Cross multiply
    432.93x = 652.31 × 391.85
  4. Step 4: Simplify right side
    432.93x = 255,607.67
  5. Step 5: Solve for x
    x = 255,607.67/432.93
  6. Step 6: Final answer
    x = 590.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.