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Finding the Fourth Proportional to 985.73, 1,470.97 and 876.65

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Solution

The fourth proportional to 985.73, 1,470.97 and 876.65 is: 1,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.73 : 1,470.97 = 876.65 : x
  2. Step 2: Convert to fraction form
    985.73/1,470.97 = 876.65/x
  3. Step 3: Cross multiply
    985.73x = 1,470.97 × 876.65
  4. Step 4: Simplify right side
    985.73x = 1,289,521.47
  5. Step 5: Solve for x
    x = 1,289,521.47/985.73
  6. Step 6: Final answer
    x = 1,308.19

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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.