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Finding the Fourth Proportional to 1,034.70, 1,541.18 and 987.30

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Solution

The fourth proportional to 1,034.70, 1,541.18 and 987.30 is: 1,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.70 : 1,541.18 = 987.30 : x
  2. Step 2: Convert to fraction form
    1,034.70/1,541.18 = 987.30/x
  3. Step 3: Cross multiply
    1,034.70x = 1,541.18 × 987.30
  4. Step 4: Simplify right side
    1,034.70x = 1,521,602.08
  5. Step 5: Solve for x
    x = 1,521,602.08/1,034.70
  6. Step 6: Final answer
    x = 1,470.57

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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.