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Finding the Fourth Proportional to 1,285.67, 1,774.05 and 726.11

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Solution

The fourth proportional to 1,285.67, 1,774.05 and 726.11 is: 1,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.67 : 1,774.05 = 726.11 : x
  2. Step 2: Convert to fraction form
    1,285.67/1,774.05 = 726.11/x
  3. Step 3: Cross multiply
    1,285.67x = 1,774.05 × 726.11
  4. Step 4: Simplify right side
    1,285.67x = 1,288,155.45
  5. Step 5: Solve for x
    x = 1,288,155.45/1,285.67
  6. Step 6: Final answer
    x = 1,001.93

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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.