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Finding the Fourth Proportional to 883.80, 1,326.65 and 781.74

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Solution

The fourth proportional to 883.80, 1,326.65 and 781.74 is: 1,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.80 : 1,326.65 = 781.74 : x
  2. Step 2: Convert to fraction form
    883.80/1,326.65 = 781.74/x
  3. Step 3: Cross multiply
    883.80x = 1,326.65 × 781.74
  4. Step 4: Simplify right side
    883.80x = 1,037,091.46
  5. Step 5: Solve for x
    x = 1,037,091.46/883.80
  6. Step 6: Final answer
    x = 1,173.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.