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Finding the Fourth Proportional to 677.08, 1,010.86 and 579.61

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Solution

The fourth proportional to 677.08, 1,010.86 and 579.61 is: 865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 1,010.86 = 579.61 : x
  2. Step 2: Convert to fraction form
    677.08/1,010.86 = 579.61/x
  3. Step 3: Cross multiply
    677.08x = 1,010.86 × 579.61
  4. Step 4: Simplify right side
    677.08x = 585,900.59
  5. Step 5: Solve for x
    x = 585,900.59/677.08
  6. Step 6: Final answer
    x = 865.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.