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Finding the Fourth Proportional to 978.81, 1,467 and 484.70

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Solution

The fourth proportional to 978.81, 1,467 and 484.70 is: 726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.81 : 1,467 = 484.70 : x
  2. Step 2: Convert to fraction form
    978.81/1,467 = 484.70/x
  3. Step 3: Cross multiply
    978.81x = 1,467 × 484.70
  4. Step 4: Simplify right side
    978.81x = 711,047.57
  5. Step 5: Solve for x
    x = 711,047.57/978.81
  6. Step 6: Final answer
    x = 726.44

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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.