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Finding the Fourth Proportional to 791.11, 1,089.36 and 624.80

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Solution

The fourth proportional to 791.11, 1,089.36 and 624.80 is: 860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.11 : 1,089.36 = 624.80 : x
  2. Step 2: Convert to fraction form
    791.11/1,089.36 = 624.80/x
  3. Step 3: Cross multiply
    791.11x = 1,089.36 × 624.80
  4. Step 4: Simplify right side
    791.11x = 680,637.19
  5. Step 5: Solve for x
    x = 680,637.19/791.11
  6. Step 6: Final answer
    x = 860.36

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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.