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Finding the Fourth Proportional to 979.53, 1,467.92 and 773.19

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Solution

The fourth proportional to 979.53, 1,467.92 and 773.19 is: 1,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.53 : 1,467.92 = 773.19 : x
  2. Step 2: Convert to fraction form
    979.53/1,467.92 = 773.19/x
  3. Step 3: Cross multiply
    979.53x = 1,467.92 × 773.19
  4. Step 4: Simplify right side
    979.53x = 1,134,977.20
  5. Step 5: Solve for x
    x = 1,134,977.20/979.53
  6. Step 6: Final answer
    x = 1,158.70

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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.