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Finding the Fourth Proportional to 1,055.97, 1,580.29 and 868.63

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Solution

The fourth proportional to 1,055.97, 1,580.29 and 868.63 is: 1,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.97 : 1,580.29 = 868.63 : x
  2. Step 2: Convert to fraction form
    1,055.97/1,580.29 = 868.63/x
  3. Step 3: Cross multiply
    1,055.97x = 1,580.29 × 868.63
  4. Step 4: Simplify right side
    1,055.97x = 1,372,687.30
  5. Step 5: Solve for x
    x = 1,372,687.30/1,055.97
  6. Step 6: Final answer
    x = 1,299.93

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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.