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Finding the Fourth Proportional to 1,077.41, 1,488.07 and 862.57

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Solution

The fourth proportional to 1,077.41, 1,488.07 and 862.57 is: 1,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.41 : 1,488.07 = 862.57 : x
  2. Step 2: Convert to fraction form
    1,077.41/1,488.07 = 862.57/x
  3. Step 3: Cross multiply
    1,077.41x = 1,488.07 × 862.57
  4. Step 4: Simplify right side
    1,077.41x = 1,283,559.11
  5. Step 5: Solve for x
    x = 1,283,559.11/1,077.41
  6. Step 6: Final answer
    x = 1,191.34

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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.