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Finding the Fourth Proportional to 1,277.76, 1,915.31 and 866.93

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Solution

The fourth proportional to 1,277.76, 1,915.31 and 866.93 is: 1,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.76 : 1,915.31 = 866.93 : x
  2. Step 2: Convert to fraction form
    1,277.76/1,915.31 = 866.93/x
  3. Step 3: Cross multiply
    1,277.76x = 1,915.31 × 866.93
  4. Step 4: Simplify right side
    1,277.76x = 1,660,439.70
  5. Step 5: Solve for x
    x = 1,660,439.70/1,277.76
  6. Step 6: Final answer
    x = 1,299.49

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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.