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Finding the Fourth Proportional to 979.06, 1,468.80 and 952.34

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Solution

The fourth proportional to 979.06, 1,468.80 and 952.34 is: 1,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.06 : 1,468.80 = 952.34 : x
  2. Step 2: Convert to fraction form
    979.06/1,468.80 = 952.34/x
  3. Step 3: Cross multiply
    979.06x = 1,468.80 × 952.34
  4. Step 4: Simplify right side
    979.06x = 1,398,796.99
  5. Step 5: Solve for x
    x = 1,398,796.99/979.06
  6. Step 6: Final answer
    x = 1,428.71

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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.