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Finding the Fourth Proportional to 677.04, 1,020.17 and 557.97

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Solution

The fourth proportional to 677.04, 1,020.17 and 557.97 is: 840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.04 : 1,020.17 = 557.97 : x
  2. Step 2: Convert to fraction form
    677.04/1,020.17 = 557.97/x
  3. Step 3: Cross multiply
    677.04x = 1,020.17 × 557.97
  4. Step 4: Simplify right side
    677.04x = 569,221.47
  5. Step 5: Solve for x
    x = 569,221.47/677.04
  6. Step 6: Final answer
    x = 840.75

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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.