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Finding the Fourth Proportional to 593.87, 888.06 and 429.84

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Solution

The fourth proportional to 593.87, 888.06 and 429.84 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.87 : 888.06 = 429.84 : x
  2. Step 2: Convert to fraction form
    593.87/888.06 = 429.84/x
  3. Step 3: Cross multiply
    593.87x = 888.06 × 429.84
  4. Step 4: Simplify right side
    593.87x = 381,725.32
  5. Step 5: Solve for x
    x = 381,725.32/593.87
  6. Step 6: Final answer
    x = 642.78

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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.