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Finding the Fourth Proportional to 432.03, 595.99 and 284.61

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Solution

The fourth proportional to 432.03, 595.99 and 284.61 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.03 : 595.99 = 284.61 : x
  2. Step 2: Convert to fraction form
    432.03/595.99 = 284.61/x
  3. Step 3: Cross multiply
    432.03x = 595.99 × 284.61
  4. Step 4: Simplify right side
    432.03x = 169,627.30
  5. Step 5: Solve for x
    x = 169,627.30/432.03
  6. Step 6: Final answer
    x = 392.63

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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.