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Finding the Fourth Proportional to 1,291.20, 1,781.84 and 701.74

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Solution

The fourth proportional to 1,291.20, 1,781.84 and 701.74 is: 968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.20 : 1,781.84 = 701.74 : x
  2. Step 2: Convert to fraction form
    1,291.20/1,781.84 = 701.74/x
  3. Step 3: Cross multiply
    1,291.20x = 1,781.84 × 701.74
  4. Step 4: Simplify right side
    1,291.20x = 1,250,388.40
  5. Step 5: Solve for x
    x = 1,250,388.40/1,291.20
  6. Step 6: Final answer
    x = 968.39

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1.5x scale

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.