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Finding the Fourth Proportional to 591.75, 887.84 and 429.15

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Solution

The fourth proportional to 591.75, 887.84 and 429.15 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.75 : 887.84 = 429.15 : x
  2. Step 2: Convert to fraction form
    591.75/887.84 = 429.15/x
  3. Step 3: Cross multiply
    591.75x = 887.84 × 429.15
  4. Step 4: Simplify right side
    591.75x = 381,014.39
  5. Step 5: Solve for x
    x = 381,014.39/591.75
  6. Step 6: Final answer
    x = 643.88

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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.