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Finding the Fourth Proportional to 1,281.25, 1,768.03 and 783.69

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Solution

The fourth proportional to 1,281.25, 1,768.03 and 783.69 is: 1,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.25 : 1,768.03 = 783.69 : x
  2. Step 2: Convert to fraction form
    1,281.25/1,768.03 = 783.69/x
  3. Step 3: Cross multiply
    1,281.25x = 1,768.03 × 783.69
  4. Step 4: Simplify right side
    1,281.25x = 1,385,587.43
  5. Step 5: Solve for x
    x = 1,385,587.43/1,281.25
  6. Step 6: Final answer
    x = 1,081.43

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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.