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Finding the Fourth Proportional to 1,377.02, 2,065.53 and 760.97

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Solution

The fourth proportional to 1,377.02, 2,065.53 and 760.97 is: 1,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.02 : 2,065.53 = 760.97 : x
  2. Step 2: Convert to fraction form
    1,377.02/2,065.53 = 760.97/x
  3. Step 3: Cross multiply
    1,377.02x = 2,065.53 × 760.97
  4. Step 4: Simplify right side
    1,377.02x = 1,571,796.04
  5. Step 5: Solve for x
    x = 1,571,796.04/1,377.02
  6. Step 6: Final answer
    x = 1,141.45

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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.