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Finding the Fourth Proportional to 1,280.63, 1,767.31 and 783.49

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Solution

The fourth proportional to 1,280.63, 1,767.31 and 783.49 is: 1,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.63 : 1,767.31 = 783.49 : x
  2. Step 2: Convert to fraction form
    1,280.63/1,767.31 = 783.49/x
  3. Step 3: Cross multiply
    1,280.63x = 1,767.31 × 783.49
  4. Step 4: Simplify right side
    1,280.63x = 1,384,669.71
  5. Step 5: Solve for x
    x = 1,384,669.71/1,280.63
  6. Step 6: Final answer
    x = 1,081.24

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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.