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Finding the Fourth Proportional to 1,252.85, 1,728.23 and 780.82

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Solution

The fourth proportional to 1,252.85, 1,728.23 and 780.82 is: 1,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.85 : 1,728.23 = 780.82 : x
  2. Step 2: Convert to fraction form
    1,252.85/1,728.23 = 780.82/x
  3. Step 3: Cross multiply
    1,252.85x = 1,728.23 × 780.82
  4. Step 4: Simplify right side
    1,252.85x = 1,349,428.32
  5. Step 5: Solve for x
    x = 1,349,428.32/1,252.85
  6. Step 6: Final answer
    x = 1,077.09

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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.