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Finding the Fourth Proportional to 1,290.27, 1,781.04 and 766.30

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Solution

The fourth proportional to 1,290.27, 1,781.04 and 766.30 is: 1,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.27 : 1,781.04 = 766.30 : x
  2. Step 2: Convert to fraction form
    1,290.27/1,781.04 = 766.30/x
  3. Step 3: Cross multiply
    1,290.27x = 1,781.04 × 766.30
  4. Step 4: Simplify right side
    1,290.27x = 1,364,810.95
  5. Step 5: Solve for x
    x = 1,364,810.95/1,290.27
  6. Step 6: Final answer
    x = 1,057.77

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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.