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Finding the Fourth Proportional to 1,148.24, 1,722.45 and 689.15

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Solution

The fourth proportional to 1,148.24, 1,722.45 and 689.15 is: 1,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.24 : 1,722.45 = 689.15 : x
  2. Step 2: Convert to fraction form
    1,148.24/1,722.45 = 689.15/x
  3. Step 3: Cross multiply
    1,148.24x = 1,722.45 × 689.15
  4. Step 4: Simplify right side
    1,148.24x = 1,187,026.42
  5. Step 5: Solve for x
    x = 1,187,026.42/1,148.24
  6. Step 6: Final answer
    x = 1,033.78

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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.