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Finding the Fourth Proportional to 1,043.30, 1,440.03 and 689.27

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Solution

The fourth proportional to 1,043.30, 1,440.03 and 689.27 is: 951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.30 : 1,440.03 = 689.27 : x
  2. Step 2: Convert to fraction form
    1,043.30/1,440.03 = 689.27/x
  3. Step 3: Cross multiply
    1,043.30x = 1,440.03 × 689.27
  4. Step 4: Simplify right side
    1,043.30x = 992,562.28
  5. Step 5: Solve for x
    x = 992,562.28/1,043.30
  6. Step 6: Final answer
    x = 951.37

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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.