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Finding the Fourth Proportional to 1,062.46, 1,465.89 and 689.44

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Solution

The fourth proportional to 1,062.46, 1,465.89 and 689.44 is: 951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.46 : 1,465.89 = 689.44 : x
  2. Step 2: Convert to fraction form
    1,062.46/1,465.89 = 689.44/x
  3. Step 3: Cross multiply
    1,062.46x = 1,465.89 × 689.44
  4. Step 4: Simplify right side
    1,062.46x = 1,010,643.20
  5. Step 5: Solve for x
    x = 1,010,643.20/1,062.46
  6. Step 6: Final answer
    x = 951.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.