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Finding the Fourth Proportional to 857.73, 1,281.57 and 634.41

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Solution

The fourth proportional to 857.73, 1,281.57 and 634.41 is: 947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.73 : 1,281.57 = 634.41 : x
  2. Step 2: Convert to fraction form
    857.73/1,281.57 = 634.41/x
  3. Step 3: Cross multiply
    857.73x = 1,281.57 × 634.41
  4. Step 4: Simplify right side
    857.73x = 813,040.82
  5. Step 5: Solve for x
    x = 813,040.82/857.73
  6. Step 6: Final answer
    x = 947.90

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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.