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Finding the Fourth Proportional to 981.34, 1,471.04 and 404.62

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Solution

The fourth proportional to 981.34, 1,471.04 and 404.62 is: 606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.34 : 1,471.04 = 404.62 : x
  2. Step 2: Convert to fraction form
    981.34/1,471.04 = 404.62/x
  3. Step 3: Cross multiply
    981.34x = 1,471.04 × 404.62
  4. Step 4: Simplify right side
    981.34x = 595,212.20
  5. Step 5: Solve for x
    x = 595,212.20/981.34
  6. Step 6: Final answer
    x = 606.53

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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.