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Finding the Fourth Proportional to 985.15, 1,470.51 and 868.38

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Solution

The fourth proportional to 985.15, 1,470.51 and 868.38 is: 1,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.15 : 1,470.51 = 868.38 : x
  2. Step 2: Convert to fraction form
    985.15/1,470.51 = 868.38/x
  3. Step 3: Cross multiply
    985.15x = 1,470.51 × 868.38
  4. Step 4: Simplify right side
    985.15x = 1,276,961.47
  5. Step 5: Solve for x
    x = 1,276,961.47/985.15
  6. Step 6: Final answer
    x = 1,296.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.