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Finding the Fourth Proportional to 748.31, 1,124.98 and 612.34

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Solution

The fourth proportional to 748.31, 1,124.98 and 612.34 is: 920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.31 : 1,124.98 = 612.34 : x
  2. Step 2: Convert to fraction form
    748.31/1,124.98 = 612.34/x
  3. Step 3: Cross multiply
    748.31x = 1,124.98 × 612.34
  4. Step 4: Simplify right side
    748.31x = 688,865.91
  5. Step 5: Solve for x
    x = 688,865.91/748.31
  6. Step 6: Final answer
    x = 920.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.