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Finding the Fourth Proportional to 748.32, 1,122.60 and 261.52

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Solution

The fourth proportional to 748.32, 1,122.60 and 261.52 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.32 : 1,122.60 = 261.52 : x
  2. Step 2: Convert to fraction form
    748.32/1,122.60 = 261.52/x
  3. Step 3: Cross multiply
    748.32x = 1,122.60 × 261.52
  4. Step 4: Simplify right side
    748.32x = 293,582.35
  5. Step 5: Solve for x
    x = 293,582.35/748.32
  6. Step 6: Final answer
    x = 392.32

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