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Finding the Fourth Proportional to 979.60, 1,351.04 and 714.04

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Solution

The fourth proportional to 979.60, 1,351.04 and 714.04 is: 984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.60 : 1,351.04 = 714.04 : x
  2. Step 2: Convert to fraction form
    979.60/1,351.04 = 714.04/x
  3. Step 3: Cross multiply
    979.60x = 1,351.04 × 714.04
  4. Step 4: Simplify right side
    979.60x = 964,696.60
  5. Step 5: Solve for x
    x = 964,696.60/979.60
  6. Step 6: Final answer
    x = 984.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.