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Finding the Fourth Proportional to 1,866.18, 2,799.24 and 633.57

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Solution

The fourth proportional to 1,866.18, 2,799.24 and 633.57 is: 950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.18 : 2,799.24 = 633.57 : x
  2. Step 2: Convert to fraction form
    1,866.18/2,799.24 = 633.57/x
  3. Step 3: Cross multiply
    1,866.18x = 2,799.24 × 633.57
  4. Step 4: Simplify right side
    1,866.18x = 1,773,514.49
  5. Step 5: Solve for x
    x = 1,773,514.49/1,866.18
  6. Step 6: Final answer
    x = 950.34

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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.