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Finding the Fourth Proportional to 877.38, 1,207.79 and 677.82

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Solution

The fourth proportional to 877.38, 1,207.79 and 677.82 is: 933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.38 : 1,207.79 = 677.82 : x
  2. Step 2: Convert to fraction form
    877.38/1,207.79 = 677.82/x
  3. Step 3: Cross multiply
    877.38x = 1,207.79 × 677.82
  4. Step 4: Simplify right side
    877.38x = 818,659.20
  5. Step 5: Solve for x
    x = 818,659.20/877.38
  6. Step 6: Final answer
    x = 933.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.