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Finding the Fourth Proportional to 1,310.74, 1,963.78 and 694.87

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Solution

The fourth proportional to 1,310.74, 1,963.78 and 694.87 is: 1,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.74 : 1,963.78 = 694.87 : x
  2. Step 2: Convert to fraction form
    1,310.74/1,963.78 = 694.87/x
  3. Step 3: Cross multiply
    1,310.74x = 1,963.78 × 694.87
  4. Step 4: Simplify right side
    1,310.74x = 1,364,565.16
  5. Step 5: Solve for x
    x = 1,364,565.16/1,310.74
  6. Step 6: Final answer
    x = 1,041.07

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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.