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Finding the Fourth Proportional to 857.79, 1,292.15 and 772.34

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Solution

The fourth proportional to 857.79, 1,292.15 and 772.34 is: 1,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.79 : 1,292.15 = 772.34 : x
  2. Step 2: Convert to fraction form
    857.79/1,292.15 = 772.34/x
  3. Step 3: Cross multiply
    857.79x = 1,292.15 × 772.34
  4. Step 4: Simplify right side
    857.79x = 997,974.60
  5. Step 5: Solve for x
    x = 997,974.60/857.79
  6. Step 6: Final answer
    x = 1,163.43

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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.