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Finding the Fourth Proportional to 739.60, 1,020.12 and 687.04

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Solution

The fourth proportional to 739.60, 1,020.12 and 687.04 is: 947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.60 : 1,020.12 = 687.04 : x
  2. Step 2: Convert to fraction form
    739.60/1,020.12 = 687.04/x
  3. Step 3: Cross multiply
    739.60x = 1,020.12 × 687.04
  4. Step 4: Simplify right side
    739.60x = 700,863.24
  5. Step 5: Solve for x
    x = 700,863.24/739.60
  6. Step 6: Final answer
    x = 947.62

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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.