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Finding the Fourth Proportional to 1,122.86, 1,549.23 and 680.00

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Solution

The fourth proportional to 1,122.86, 1,549.23 and 680.00 is: 938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.86 : 1,549.23 = 680.00 : x
  2. Step 2: Convert to fraction form
    1,122.86/1,549.23 = 680.00/x
  3. Step 3: Cross multiply
    1,122.86x = 1,549.23 × 680.00
  4. Step 4: Simplify right side
    1,122.86x = 1,053,466.10
  5. Step 5: Solve for x
    x = 1,053,466.10/1,122.86
  6. Step 6: Final answer
    x = 938.20

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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.