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Finding the Fourth Proportional to 1,454.23, 2,006.86 and 864.66

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Solution

The fourth proportional to 1,454.23, 2,006.86 and 864.66 is: 1,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.23 : 2,006.86 = 864.66 : x
  2. Step 2: Convert to fraction form
    1,454.23/2,006.86 = 864.66/x
  3. Step 3: Cross multiply
    1,454.23x = 2,006.86 × 864.66
  4. Step 4: Simplify right side
    1,454.23x = 1,735,237.21
  5. Step 5: Solve for x
    x = 1,735,237.21/1,454.23
  6. Step 6: Final answer
    x = 1,193.23

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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.