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Finding the Fourth Proportional to 1,013.76, 1,519.58 and 648.78

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Solution

The fourth proportional to 1,013.76, 1,519.58 and 648.78 is: 972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.76 : 1,519.58 = 648.78 : x
  2. Step 2: Convert to fraction form
    1,013.76/1,519.58 = 648.78/x
  3. Step 3: Cross multiply
    1,013.76x = 1,519.58 × 648.78
  4. Step 4: Simplify right side
    1,013.76x = 985,873.11
  5. Step 5: Solve for x
    x = 985,873.11/1,013.76
  6. Step 6: Final answer
    x = 972.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.