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Finding the Fourth Proportional to 591.03, 885.63 and 316.85

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Solution

The fourth proportional to 591.03, 885.63 and 316.85 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.03 : 885.63 = 316.85 : x
  2. Step 2: Convert to fraction form
    591.03/885.63 = 316.85/x
  3. Step 3: Cross multiply
    591.03x = 885.63 × 316.85
  4. Step 4: Simplify right side
    591.03x = 280,608.63
  5. Step 5: Solve for x
    x = 280,608.63/591.03
  6. Step 6: Final answer
    x = 474.78

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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.