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Finding the Fourth Proportional to 781.73, 1,173.02 and 608.75

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Solution

The fourth proportional to 781.73, 1,173.02 and 608.75 is: 913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.73 : 1,173.02 = 608.75 : x
  2. Step 2: Convert to fraction form
    781.73/1,173.02 = 608.75/x
  3. Step 3: Cross multiply
    781.73x = 1,173.02 × 608.75
  4. Step 4: Simplify right side
    781.73x = 714,067.02
  5. Step 5: Solve for x
    x = 714,067.02/781.73
  6. Step 6: Final answer
    x = 913.45

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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.