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Finding the Fourth Proportional to 847.26, 1,168.83 and 497.70

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Solution

The fourth proportional to 847.26, 1,168.83 and 497.70 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.26 : 1,168.83 = 497.70 : x
  2. Step 2: Convert to fraction form
    847.26/1,168.83 = 497.70/x
  3. Step 3: Cross multiply
    847.26x = 1,168.83 × 497.70
  4. Step 4: Simplify right side
    847.26x = 581,726.69
  5. Step 5: Solve for x
    x = 581,726.69/847.26
  6. Step 6: Final answer
    x = 686.60

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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.