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Finding the Fourth Proportional to 593.54, 888.71 and 429.18

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Solution

The fourth proportional to 593.54, 888.71 and 429.18 is: 642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.54 : 888.71 = 429.18 : x
  2. Step 2: Convert to fraction form
    593.54/888.71 = 429.18/x
  3. Step 3: Cross multiply
    593.54x = 888.71 × 429.18
  4. Step 4: Simplify right side
    593.54x = 381,416.08
  5. Step 5: Solve for x
    x = 381,416.08/593.54
  6. Step 6: Final answer
    x = 642.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.