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Finding the Fourth Proportional to 750.08, 1,032.24 and 687.92

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Solution

The fourth proportional to 750.08, 1,032.24 and 687.92 is: 946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.08 : 1,032.24 = 687.92 : x
  2. Step 2: Convert to fraction form
    750.08/1,032.24 = 687.92/x
  3. Step 3: Cross multiply
    750.08x = 1,032.24 × 687.92
  4. Step 4: Simplify right side
    750.08x = 710,098.54
  5. Step 5: Solve for x
    x = 710,098.54/750.08
  6. Step 6: Final answer
    x = 946.70

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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.