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Finding the Fourth Proportional to 1,012.91, 1,521.79 and 648.41

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Solution

The fourth proportional to 1,012.91, 1,521.79 and 648.41 is: 974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.91 : 1,521.79 = 648.41 : x
  2. Step 2: Convert to fraction form
    1,012.91/1,521.79 = 648.41/x
  3. Step 3: Cross multiply
    1,012.91x = 1,521.79 × 648.41
  4. Step 4: Simplify right side
    1,012.91x = 986,734.62
  5. Step 5: Solve for x
    x = 986,734.62/1,012.91
  6. Step 6: Final answer
    x = 974.16

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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.