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Finding the Fourth Proportional to 671.80, 1,012.28 and 552.74

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Solution

The fourth proportional to 671.80, 1,012.28 and 552.74 is: 832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.80 : 1,012.28 = 552.74 : x
  2. Step 2: Convert to fraction form
    671.80/1,012.28 = 552.74/x
  3. Step 3: Cross multiply
    671.80x = 1,012.28 × 552.74
  4. Step 4: Simplify right side
    671.80x = 559,527.65
  5. Step 5: Solve for x
    x = 559,527.65/671.80
  6. Step 6: Final answer
    x = 832.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.