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Finding the Fourth Proportional to 1,122.61, 1,548.57 and 680.35

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Solution

The fourth proportional to 1,122.61, 1,548.57 and 680.35 is: 938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.61 : 1,548.57 = 680.35 : x
  2. Step 2: Convert to fraction form
    1,122.61/1,548.57 = 680.35/x
  3. Step 3: Cross multiply
    1,122.61x = 1,548.57 × 680.35
  4. Step 4: Simplify right side
    1,122.61x = 1,053,569.60
  5. Step 5: Solve for x
    x = 1,053,569.60/1,122.61
  6. Step 6: Final answer
    x = 938.50

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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.