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Finding the Fourth Proportional to 1,307.28, 1,961.59 and 868.83

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Solution

The fourth proportional to 1,307.28, 1,961.59 and 868.83 is: 1,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.28 : 1,961.59 = 868.83 : x
  2. Step 2: Convert to fraction form
    1,307.28/1,961.59 = 868.83/x
  3. Step 3: Cross multiply
    1,307.28x = 1,961.59 × 868.83
  4. Step 4: Simplify right side
    1,307.28x = 1,704,290.97
  5. Step 5: Solve for x
    x = 1,704,290.97/1,307.28
  6. Step 6: Final answer
    x = 1,303.69

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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.