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Finding the Fourth Proportional to 985.23, 1,470.22 and 876.15

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Solution

The fourth proportional to 985.23, 1,470.22 and 876.15 is: 1,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.23 : 1,470.22 = 876.15 : x
  2. Step 2: Convert to fraction form
    985.23/1,470.22 = 876.15/x
  3. Step 3: Cross multiply
    985.23x = 1,470.22 × 876.15
  4. Step 4: Simplify right side
    985.23x = 1,288,131.06
  5. Step 5: Solve for x
    x = 1,288,131.06/985.23
  6. Step 6: Final answer
    x = 1,307.44

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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.