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Finding the Fourth Proportional to 1,781.60, 2,672.31 and 611.71

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Solution

The fourth proportional to 1,781.60, 2,672.31 and 611.71 is: 917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.60 : 2,672.31 = 611.71 : x
  2. Step 2: Convert to fraction form
    1,781.60/2,672.31 = 611.71/x
  3. Step 3: Cross multiply
    1,781.60x = 2,672.31 × 611.71
  4. Step 4: Simplify right side
    1,781.60x = 1,634,678.75
  5. Step 5: Solve for x
    x = 1,634,678.75/1,781.60
  6. Step 6: Final answer
    x = 917.53

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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.