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Finding the Fourth Proportional to 432.50, 597.33 and 285.78

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Solution

The fourth proportional to 432.50, 597.33 and 285.78 is: 394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.50 : 597.33 = 285.78 : x
  2. Step 2: Convert to fraction form
    432.50/597.33 = 285.78/x
  3. Step 3: Cross multiply
    432.50x = 597.33 × 285.78
  4. Step 4: Simplify right side
    432.50x = 170,704.97
  5. Step 5: Solve for x
    x = 170,704.97/432.50
  6. Step 6: Final answer
    x = 394.70

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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.