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Finding the Fourth Proportional to 1,116.59, 1,542.10 and 870.85

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Solution

The fourth proportional to 1,116.59, 1,542.10 and 870.85 is: 1,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.59 : 1,542.10 = 870.85 : x
  2. Step 2: Convert to fraction form
    1,116.59/1,542.10 = 870.85/x
  3. Step 3: Cross multiply
    1,116.59x = 1,542.10 × 870.85
  4. Step 4: Simplify right side
    1,116.59x = 1,342,930.07
  5. Step 5: Solve for x
    x = 1,342,930.07/1,116.59
  6. Step 6: Final answer
    x = 1,202.71

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1.5x scale

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.