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Finding the Fourth Proportional to 1,199.95, 1,654.58 and 868.55

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Solution

The fourth proportional to 1,199.95, 1,654.58 and 868.55 is: 1,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.95 : 1,654.58 = 868.55 : x
  2. Step 2: Convert to fraction form
    1,199.95/1,654.58 = 868.55/x
  3. Step 3: Cross multiply
    1,199.95x = 1,654.58 × 868.55
  4. Step 4: Simplify right side
    1,199.95x = 1,437,079.36
  5. Step 5: Solve for x
    x = 1,437,079.36/1,199.95
  6. Step 6: Final answer
    x = 1,197.62

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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.