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Finding the Fourth Proportional to 979.32, 1,466.14 and 843.24

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Solution

The fourth proportional to 979.32, 1,466.14 and 843.24 is: 1,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.32 : 1,466.14 = 843.24 : x
  2. Step 2: Convert to fraction form
    979.32/1,466.14 = 843.24/x
  3. Step 3: Cross multiply
    979.32x = 1,466.14 × 843.24
  4. Step 4: Simplify right side
    979.32x = 1,236,307.89
  5. Step 5: Solve for x
    x = 1,236,307.89/979.32
  6. Step 6: Final answer
    x = 1,262.41

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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.