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Finding the Fourth Proportional to 1,122.06, 1,680.48 and 572.88

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Solution

The fourth proportional to 1,122.06, 1,680.48 and 572.88 is: 857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.06 : 1,680.48 = 572.88 : x
  2. Step 2: Convert to fraction form
    1,122.06/1,680.48 = 572.88/x
  3. Step 3: Cross multiply
    1,122.06x = 1,680.48 × 572.88
  4. Step 4: Simplify right side
    1,122.06x = 962,713.38
  5. Step 5: Solve for x
    x = 962,713.38/1,122.06
  6. Step 6: Final answer
    x = 857.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.