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Finding the Fourth Proportional to 432.54, 597.78 and 345.06

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Solution

The fourth proportional to 432.54, 597.78 and 345.06 is: 476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 597.78 = 345.06 : x
  2. Step 2: Convert to fraction form
    432.54/597.78 = 345.06/x
  3. Step 3: Cross multiply
    432.54x = 597.78 × 345.06
  4. Step 4: Simplify right side
    432.54x = 206,269.97
  5. Step 5: Solve for x
    x = 206,269.97/432.54
  6. Step 6: Final answer
    x = 476.88

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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.