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Finding the Fourth Proportional to 677.92, 1,010.10 and 648.06

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Solution

The fourth proportional to 677.92, 1,010.10 and 648.06 is: 965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.92 : 1,010.10 = 648.06 : x
  2. Step 2: Convert to fraction form
    677.92/1,010.10 = 648.06/x
  3. Step 3: Cross multiply
    677.92x = 1,010.10 × 648.06
  4. Step 4: Simplify right side
    677.92x = 654,605.41
  5. Step 5: Solve for x
    x = 654,605.41/677.92
  6. Step 6: Final answer
    x = 965.61

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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.