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Finding the Fourth Proportional to 591.30, 887.07 and 317.70

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Solution

The fourth proportional to 591.30, 887.07 and 317.70 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 887.07 = 317.70 : x
  2. Step 2: Convert to fraction form
    591.30/887.07 = 317.70/x
  3. Step 3: Cross multiply
    591.30x = 887.07 × 317.70
  4. Step 4: Simplify right side
    591.30x = 281,822.14
  5. Step 5: Solve for x
    x = 281,822.14/591.30
  6. Step 6: Final answer
    x = 476.61

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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.