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Finding the Fourth Proportional to 868.90, 1,197.50 and 686.42

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Solution

The fourth proportional to 868.90, 1,197.50 and 686.42 is: 946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.90 : 1,197.50 = 686.42 : x
  2. Step 2: Convert to fraction form
    868.90/1,197.50 = 686.42/x
  3. Step 3: Cross multiply
    868.90x = 1,197.50 × 686.42
  4. Step 4: Simplify right side
    868.90x = 821,978.53
  5. Step 5: Solve for x
    x = 821,978.53/868.90
  6. Step 6: Final answer
    x = 946.00

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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.