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Finding the Fourth Proportional to 1,454.00, 2,006.51 and 864.52

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Solution

The fourth proportional to 1,454.00, 2,006.51 and 864.52 is: 1,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.00 : 2,006.51 = 864.52 : x
  2. Step 2: Convert to fraction form
    1,454.00/2,006.51 = 864.52/x
  3. Step 3: Cross multiply
    1,454.00x = 2,006.51 × 864.52
  4. Step 4: Simplify right side
    1,454.00x = 1,734,669.97
  5. Step 5: Solve for x
    x = 1,734,669.97/1,454.00
  6. Step 6: Final answer
    x = 1,193.03

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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.