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Finding the Fourth Proportional to 1,342.80, 2,014.92 and 766.08

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Solution

The fourth proportional to 1,342.80, 2,014.92 and 766.08 is: 1,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.80 : 2,014.92 = 766.08 : x
  2. Step 2: Convert to fraction form
    1,342.80/2,014.92 = 766.08/x
  3. Step 3: Cross multiply
    1,342.80x = 2,014.92 × 766.08
  4. Step 4: Simplify right side
    1,342.80x = 1,543,589.91
  5. Step 5: Solve for x
    x = 1,543,589.91/1,342.80
  6. Step 6: Final answer
    x = 1,149.53

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1.5x scale

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.