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Finding the Fourth Proportional to 591.26, 885.87 and 316.53

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Solution

The fourth proportional to 591.26, 885.87 and 316.53 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.26 : 885.87 = 316.53 : x
  2. Step 2: Convert to fraction form
    591.26/885.87 = 316.53/x
  3. Step 3: Cross multiply
    591.26x = 885.87 × 316.53
  4. Step 4: Simplify right side
    591.26x = 280,404.43
  5. Step 5: Solve for x
    x = 280,404.43/591.26
  6. Step 6: Final answer
    x = 474.25

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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.