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Finding the Fourth Proportional to 979.34, 1,469.46 and 492.74

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Solution

The fourth proportional to 979.34, 1,469.46 and 492.74 is: 739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.34 : 1,469.46 = 492.74 : x
  2. Step 2: Convert to fraction form
    979.34/1,469.46 = 492.74/x
  3. Step 3: Cross multiply
    979.34x = 1,469.46 × 492.74
  4. Step 4: Simplify right side
    979.34x = 724,061.72
  5. Step 5: Solve for x
    x = 724,061.72/979.34
  6. Step 6: Final answer
    x = 739.34

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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.