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Finding the Fourth Proportional to 847.97, 1,170.16 and 493.90

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Solution

The fourth proportional to 847.97, 1,170.16 and 493.90 is: 681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,170.16 = 493.90 : x
  2. Step 2: Convert to fraction form
    847.97/1,170.16 = 493.90/x
  3. Step 3: Cross multiply
    847.97x = 1,170.16 × 493.90
  4. Step 4: Simplify right side
    847.97x = 577,937.86
  5. Step 5: Solve for x
    x = 577,937.86/847.97
  6. Step 6: Final answer
    x = 681.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.