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Finding the Fourth Proportional to 748.10, 1,032.86 and 512.44

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Solution

The fourth proportional to 748.10, 1,032.86 and 512.44 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.10 : 1,032.86 = 512.44 : x
  2. Step 2: Convert to fraction form
    748.10/1,032.86 = 512.44/x
  3. Step 3: Cross multiply
    748.10x = 1,032.86 × 512.44
  4. Step 4: Simplify right side
    748.10x = 529,277.48
  5. Step 5: Solve for x
    x = 529,277.48/748.10
  6. Step 6: Final answer
    x = 707.49

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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.