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Finding the Fourth Proportional to 1,659.27, 2,486.82 and 877.35

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Solution

The fourth proportional to 1,659.27, 2,486.82 and 877.35 is: 1,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.27 : 2,486.82 = 877.35 : x
  2. Step 2: Convert to fraction form
    1,659.27/2,486.82 = 877.35/x
  3. Step 3: Cross multiply
    1,659.27x = 2,486.82 × 877.35
  4. Step 4: Simplify right side
    1,659.27x = 2,181,811.53
  5. Step 5: Solve for x
    x = 2,181,811.53/1,659.27
  6. Step 6: Final answer
    x = 1,314.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.