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Finding the Fourth Proportional to 868.17, 1,298.36 and 771.27

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Solution

The fourth proportional to 868.17, 1,298.36 and 771.27 is: 1,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.17 : 1,298.36 = 771.27 : x
  2. Step 2: Convert to fraction form
    868.17/1,298.36 = 771.27/x
  3. Step 3: Cross multiply
    868.17x = 1,298.36 × 771.27
  4. Step 4: Simplify right side
    868.17x = 1,001,390.48
  5. Step 5: Solve for x
    x = 1,001,390.48/868.17
  6. Step 6: Final answer
    x = 1,153.45

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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.