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Finding the Fourth Proportional to 432.97, 597.49 and 285.69

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Solution

The fourth proportional to 432.97, 597.49 and 285.69 is: 394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.97 : 597.49 = 285.69 : x
  2. Step 2: Convert to fraction form
    432.97/597.49 = 285.69/x
  3. Step 3: Cross multiply
    432.97x = 597.49 × 285.69
  4. Step 4: Simplify right side
    432.97x = 170,696.92
  5. Step 5: Solve for x
    x = 170,696.92/432.97
  6. Step 6: Final answer
    x = 394.25

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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.