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Finding the Fourth Proportional to 677.45, 1,010.46 and 656.95

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Solution

The fourth proportional to 677.45, 1,010.46 and 656.95 is: 979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.45 : 1,010.46 = 656.95 : x
  2. Step 2: Convert to fraction form
    677.45/1,010.46 = 656.95/x
  3. Step 3: Cross multiply
    677.45x = 1,010.46 × 656.95
  4. Step 4: Simplify right side
    677.45x = 663,815.74
  5. Step 5: Solve for x
    x = 663,815.74/677.45
  6. Step 6: Final answer
    x = 979.87

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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.