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Finding the Fourth Proportional to 1,001.68, 1,498.50 and 866.18

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Solution

The fourth proportional to 1,001.68, 1,498.50 and 866.18 is: 1,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.68 : 1,498.50 = 866.18 : x
  2. Step 2: Convert to fraction form
    1,001.68/1,498.50 = 866.18/x
  3. Step 3: Cross multiply
    1,001.68x = 1,498.50 × 866.18
  4. Step 4: Simplify right side
    1,001.68x = 1,297,970.73
  5. Step 5: Solve for x
    x = 1,297,970.73/1,001.68
  6. Step 6: Final answer
    x = 1,295.79

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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.