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Finding the Fourth Proportional to 723.68, 1,085.28 and 236.61

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Solution

The fourth proportional to 723.68, 1,085.28 and 236.61 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.68 : 1,085.28 = 236.61 : x
  2. Step 2: Convert to fraction form
    723.68/1,085.28 = 236.61/x
  3. Step 3: Cross multiply
    723.68x = 1,085.28 × 236.61
  4. Step 4: Simplify right side
    723.68x = 256,788.10
  5. Step 5: Solve for x
    x = 256,788.10/723.68
  6. Step 6: Final answer
    x = 354.84

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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.