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Finding the Fourth Proportional to 432.73, 597.26 and 285.38

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Solution

The fourth proportional to 432.73, 597.26 and 285.38 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.73 : 597.26 = 285.38 : x
  2. Step 2: Convert to fraction form
    432.73/597.26 = 285.38/x
  3. Step 3: Cross multiply
    432.73x = 597.26 × 285.38
  4. Step 4: Simplify right side
    432.73x = 170,444.63
  5. Step 5: Solve for x
    x = 170,444.63/432.73
  6. Step 6: Final answer
    x = 393.89

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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.