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Finding the Fourth Proportional to 677.15, 1,010.73 and 627.59

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Solution

The fourth proportional to 677.15, 1,010.73 and 627.59 is: 936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.15 : 1,010.73 = 627.59 : x
  2. Step 2: Convert to fraction form
    677.15/1,010.73 = 627.59/x
  3. Step 3: Cross multiply
    677.15x = 1,010.73 × 627.59
  4. Step 4: Simplify right side
    677.15x = 634,320.90
  5. Step 5: Solve for x
    x = 634,320.90/677.15
  6. Step 6: Final answer
    x = 936.75

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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.