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Finding the Fourth Proportional to 1,505.70, 2,077.86 and 842.55

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Solution

The fourth proportional to 1,505.70, 2,077.86 and 842.55 is: 1,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.70 : 2,077.86 = 842.55 : x
  2. Step 2: Convert to fraction form
    1,505.70/2,077.86 = 842.55/x
  3. Step 3: Cross multiply
    1,505.70x = 2,077.86 × 842.55
  4. Step 4: Simplify right side
    1,505.70x = 1,750,704.56
  5. Step 5: Solve for x
    x = 1,750,704.56/1,505.70
  6. Step 6: Final answer
    x = 1,162.72

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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.