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Finding the Fourth Proportional to 699.11, 1,043.42 and 687.57

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Solution

The fourth proportional to 699.11, 1,043.42 and 687.57 is: 1,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.11 : 1,043.42 = 687.57 : x
  2. Step 2: Convert to fraction form
    699.11/1,043.42 = 687.57/x
  3. Step 3: Cross multiply
    699.11x = 1,043.42 × 687.57
  4. Step 4: Simplify right side
    699.11x = 717,424.29
  5. Step 5: Solve for x
    x = 717,424.29/699.11
  6. Step 6: Final answer
    x = 1,026.20

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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.