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Finding the Fourth Proportional to 747.82, 1,032.17 and 512.18

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Solution

The fourth proportional to 747.82, 1,032.17 and 512.18 is: 706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.82 : 1,032.17 = 512.18 : x
  2. Step 2: Convert to fraction form
    747.82/1,032.17 = 512.18/x
  3. Step 3: Cross multiply
    747.82x = 1,032.17 × 512.18
  4. Step 4: Simplify right side
    747.82x = 528,656.83
  5. Step 5: Solve for x
    x = 528,656.83/747.82
  6. Step 6: Final answer
    x = 706.93

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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.