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Finding the Fourth Proportional to 723.97, 1,085.97 and 291.13

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Solution

The fourth proportional to 723.97, 1,085.97 and 291.13 is: 436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.97 : 1,085.97 = 291.13 : x
  2. Step 2: Convert to fraction form
    723.97/1,085.97 = 291.13/x
  3. Step 3: Cross multiply
    723.97x = 1,085.97 × 291.13
  4. Step 4: Simplify right side
    723.97x = 316,158.45
  5. Step 5: Solve for x
    x = 316,158.45/723.97
  6. Step 6: Final answer
    x = 436.70

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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.