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Finding the Fourth Proportional to 1,311.35, 1,968.03 and 686.03

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Solution

The fourth proportional to 1,311.35, 1,968.03 and 686.03 is: 1,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.35 : 1,968.03 = 686.03 : x
  2. Step 2: Convert to fraction form
    1,311.35/1,968.03 = 686.03/x
  3. Step 3: Cross multiply
    1,311.35x = 1,968.03 × 686.03
  4. Step 4: Simplify right side
    1,311.35x = 1,350,117.78
  5. Step 5: Solve for x
    x = 1,350,117.78/1,311.35
  6. Step 6: Final answer
    x = 1,029.57

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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.