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Finding the Fourth Proportional to 1,276.93, 1,915.87 and 660.23

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Solution

The fourth proportional to 1,276.93, 1,915.87 and 660.23 is: 990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.93 : 1,915.87 = 660.23 : x
  2. Step 2: Convert to fraction form
    1,276.93/1,915.87 = 660.23/x
  3. Step 3: Cross multiply
    1,276.93x = 1,915.87 × 660.23
  4. Step 4: Simplify right side
    1,276.93x = 1,264,914.85
  5. Step 5: Solve for x
    x = 1,264,914.85/1,276.93
  6. Step 6: Final answer
    x = 990.59

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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.