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Finding the Fourth Proportional to 1,225.79, 1,691.50 and 721.56

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Solution

The fourth proportional to 1,225.79, 1,691.50 and 721.56 is: 995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.79 : 1,691.50 = 721.56 : x
  2. Step 2: Convert to fraction form
    1,225.79/1,691.50 = 721.56/x
  3. Step 3: Cross multiply
    1,225.79x = 1,691.50 × 721.56
  4. Step 4: Simplify right side
    1,225.79x = 1,220,518.74
  5. Step 5: Solve for x
    x = 1,220,518.74/1,225.79
  6. Step 6: Final answer
    x = 995.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.