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Finding the Fourth Proportional to 1,666.27, 2,498.45 and 886.65

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Solution

The fourth proportional to 1,666.27, 2,498.45 and 886.65 is: 1,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.27 : 2,498.45 = 886.65 : x
  2. Step 2: Convert to fraction form
    1,666.27/2,498.45 = 886.65/x
  3. Step 3: Cross multiply
    1,666.27x = 2,498.45 × 886.65
  4. Step 4: Simplify right side
    1,666.27x = 2,215,236.89
  5. Step 5: Solve for x
    x = 2,215,236.89/1,666.27
  6. Step 6: Final answer
    x = 1,329.46

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