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Finding the Fourth Proportional to 1,472.72, 2,206.87 and 741.38

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Solution

The fourth proportional to 1,472.72, 2,206.87 and 741.38 is: 1,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.72 : 2,206.87 = 741.38 : x
  2. Step 2: Convert to fraction form
    1,472.72/2,206.87 = 741.38/x
  3. Step 3: Cross multiply
    1,472.72x = 2,206.87 × 741.38
  4. Step 4: Simplify right side
    1,472.72x = 1,636,116.39
  5. Step 5: Solve for x
    x = 1,636,116.39/1,472.72
  6. Step 6: Final answer
    x = 1,110.95

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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.