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Finding the Fourth Proportional to 1,124.78, 1,551.78 and 726.17

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Solution

The fourth proportional to 1,124.78, 1,551.78 and 726.17 is: 1,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.78 : 1,551.78 = 726.17 : x
  2. Step 2: Convert to fraction form
    1,124.78/1,551.78 = 726.17/x
  3. Step 3: Cross multiply
    1,124.78x = 1,551.78 × 726.17
  4. Step 4: Simplify right side
    1,124.78x = 1,126,848.32
  5. Step 5: Solve for x
    x = 1,126,848.32/1,124.78
  6. Step 6: Final answer
    x = 1,001.84

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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.