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Finding the Fourth Proportional to 781.85, 1,167.62 and 672.50

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Solution

The fourth proportional to 781.85, 1,167.62 and 672.50 is: 1,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.85 : 1,167.62 = 672.50 : x
  2. Step 2: Convert to fraction form
    781.85/1,167.62 = 672.50/x
  3. Step 3: Cross multiply
    781.85x = 1,167.62 × 672.50
  4. Step 4: Simplify right side
    781.85x = 785,224.01
  5. Step 5: Solve for x
    x = 785,224.01/781.85
  6. Step 6: Final answer
    x = 1,004.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.