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Finding the Fourth Proportional to 750.64, 1,032.42 and 616.90

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Solution

The fourth proportional to 750.64, 1,032.42 and 616.90 is: 848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.64 : 1,032.42 = 616.90 : x
  2. Step 2: Convert to fraction form
    750.64/1,032.42 = 616.90/x
  3. Step 3: Cross multiply
    750.64x = 1,032.42 × 616.90
  4. Step 4: Simplify right side
    750.64x = 636,899.90
  5. Step 5: Solve for x
    x = 636,899.90/750.64
  6. Step 6: Final answer
    x = 848.48

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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.