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Finding the Fourth Proportional to 723.61, 1,084.96 and 236.59

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Solution

The fourth proportional to 723.61, 1,084.96 and 236.59 is: 354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.61 : 1,084.96 = 236.59 : x
  2. Step 2: Convert to fraction form
    723.61/1,084.96 = 236.59/x
  3. Step 3: Cross multiply
    723.61x = 1,084.96 × 236.59
  4. Step 4: Simplify right side
    723.61x = 256,690.69
  5. Step 5: Solve for x
    x = 256,690.69/723.61
  6. Step 6: Final answer
    x = 354.74

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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.