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Finding the Fourth Proportional to 1,505.75, 2,077.79 and 1,034.06

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Solution

The fourth proportional to 1,505.75, 2,077.79 and 1,034.06 is: 1,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.75 : 2,077.79 = 1,034.06 : x
  2. Step 2: Convert to fraction form
    1,505.75/2,077.79 = 1,034.06/x
  3. Step 3: Cross multiply
    1,505.75x = 2,077.79 × 1,034.06
  4. Step 4: Simplify right side
    1,505.75x = 2,148,543.97
  5. Step 5: Solve for x
    x = 2,148,543.97/1,505.75
  6. Step 6: Final answer
    x = 1,426.90

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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.