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Finding the Fourth Proportional to 750.52, 1,033.42 and 656.73

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Solution

The fourth proportional to 750.52, 1,033.42 and 656.73 is: 904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.52 : 1,033.42 = 656.73 : x
  2. Step 2: Convert to fraction form
    750.52/1,033.42 = 656.73/x
  3. Step 3: Cross multiply
    750.52x = 1,033.42 × 656.73
  4. Step 4: Simplify right side
    750.52x = 678,677.92
  5. Step 5: Solve for x
    x = 678,677.92/750.52
  6. Step 6: Final answer
    x = 904.28

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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.