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Finding the Fourth Proportional to 891.57, 1,342.31 and 772.50

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Solution

The fourth proportional to 891.57, 1,342.31 and 772.50 is: 1,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.57 : 1,342.31 = 772.50 : x
  2. Step 2: Convert to fraction form
    891.57/1,342.31 = 772.50/x
  3. Step 3: Cross multiply
    891.57x = 1,342.31 × 772.50
  4. Step 4: Simplify right side
    891.57x = 1,036,936.41
  5. Step 5: Solve for x
    x = 1,036,936.41/891.57
  6. Step 6: Final answer
    x = 1,163.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.