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Finding the Fourth Proportional to 748.58, 1,122.32 and 474.62

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Solution

The fourth proportional to 748.58, 1,122.32 and 474.62 is: 711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.58 : 1,122.32 = 474.62 : x
  2. Step 2: Convert to fraction form
    748.58/1,122.32 = 474.62/x
  3. Step 3: Cross multiply
    748.58x = 1,122.32 × 474.62
  4. Step 4: Simplify right side
    748.58x = 532,675.52
  5. Step 5: Solve for x
    x = 532,675.52/748.58
  6. Step 6: Final answer
    x = 711.58

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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.