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Finding the Fourth Proportional to 591.98, 887.01 and 429.77

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Solution

The fourth proportional to 591.98, 887.01 and 429.77 is: 643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 887.01 = 429.77 : x
  2. Step 2: Convert to fraction form
    591.98/887.01 = 429.77/x
  3. Step 3: Cross multiply
    591.98x = 887.01 × 429.77
  4. Step 4: Simplify right side
    591.98x = 381,210.29
  5. Step 5: Solve for x
    x = 381,210.29/591.98
  6. Step 6: Final answer
    x = 643.96

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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.