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Finding the Fourth Proportional to 747.79, 1,032.10 and 512.21

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Solution

The fourth proportional to 747.79, 1,032.10 and 512.21 is: 706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.79 : 1,032.10 = 512.21 : x
  2. Step 2: Convert to fraction form
    747.79/1,032.10 = 512.21/x
  3. Step 3: Cross multiply
    747.79x = 1,032.10 × 512.21
  4. Step 4: Simplify right side
    747.79x = 528,653.24
  5. Step 5: Solve for x
    x = 528,653.24/747.79
  6. Step 6: Final answer
    x = 706.96

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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.