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Finding the Fourth Proportional to 1,319.81, 1,979.32 and 694.77

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Solution

The fourth proportional to 1,319.81, 1,979.32 and 694.77 is: 1,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.81 : 1,979.32 = 694.77 : x
  2. Step 2: Convert to fraction form
    1,319.81/1,979.32 = 694.77/x
  3. Step 3: Cross multiply
    1,319.81x = 1,979.32 × 694.77
  4. Step 4: Simplify right side
    1,319.81x = 1,375,170.42
  5. Step 5: Solve for x
    x = 1,375,170.42/1,319.81
  6. Step 6: Final answer
    x = 1,041.95

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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.