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Finding the Fourth Proportional to 1,454.42, 2,006.91 and 864.84

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Solution

The fourth proportional to 1,454.42, 2,006.91 and 864.84 is: 1,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.42 : 2,006.91 = 864.84 : x
  2. Step 2: Convert to fraction form
    1,454.42/2,006.91 = 864.84/x
  3. Step 3: Cross multiply
    1,454.42x = 2,006.91 × 864.84
  4. Step 4: Simplify right side
    1,454.42x = 1,735,663.57
  5. Step 5: Solve for x
    x = 1,735,663.57/1,454.42
  6. Step 6: Final answer
    x = 1,193.37

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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.