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Finding the Fourth Proportional to 870.76, 1,201.62 and 497.80

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Solution

The fourth proportional to 870.76, 1,201.62 and 497.80 is: 686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.76 : 1,201.62 = 497.80 : x
  2. Step 2: Convert to fraction form
    870.76/1,201.62 = 497.80/x
  3. Step 3: Cross multiply
    870.76x = 1,201.62 × 497.80
  4. Step 4: Simplify right side
    870.76x = 598,166.44
  5. Step 5: Solve for x
    x = 598,166.44/870.76
  6. Step 6: Final answer
    x = 686.95

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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.