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Finding the Fourth Proportional to 1,280.31, 1,767.12 and 783.24

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Solution

The fourth proportional to 1,280.31, 1,767.12 and 783.24 is: 1,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.31 : 1,767.12 = 783.24 : x
  2. Step 2: Convert to fraction form
    1,280.31/1,767.12 = 783.24/x
  3. Step 3: Cross multiply
    1,280.31x = 1,767.12 × 783.24
  4. Step 4: Simplify right side
    1,280.31x = 1,384,079.07
  5. Step 5: Solve for x
    x = 1,384,079.07/1,280.31
  6. Step 6: Final answer
    x = 1,081.05

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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.