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Finding the Fourth Proportional to 1,255.62, 1,731.87 and 783.12

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Solution

The fourth proportional to 1,255.62, 1,731.87 and 783.12 is: 1,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.62 : 1,731.87 = 783.12 : x
  2. Step 2: Convert to fraction form
    1,255.62/1,731.87 = 783.12/x
  3. Step 3: Cross multiply
    1,255.62x = 1,731.87 × 783.12
  4. Step 4: Simplify right side
    1,255.62x = 1,356,262.03
  5. Step 5: Solve for x
    x = 1,356,262.03/1,255.62
  6. Step 6: Final answer
    x = 1,080.15

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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.