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Finding the Fourth Proportional to 1,225.69, 1,691.54 and 783.97

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Solution

The fourth proportional to 1,225.69, 1,691.54 and 783.97 is: 1,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.69 : 1,691.54 = 783.97 : x
  2. Step 2: Convert to fraction form
    1,225.69/1,691.54 = 783.97/x
  3. Step 3: Cross multiply
    1,225.69x = 1,691.54 × 783.97
  4. Step 4: Simplify right side
    1,225.69x = 1,326,116.61
  5. Step 5: Solve for x
    x = 1,326,116.61/1,225.69
  6. Step 6: Final answer
    x = 1,081.93

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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.