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Finding the Fourth Proportional to 981.96, 1,472.76 and 404.16

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Solution

The fourth proportional to 981.96, 1,472.76 and 404.16 is: 606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.96 : 1,472.76 = 404.16 : x
  2. Step 2: Convert to fraction form
    981.96/1,472.76 = 404.16/x
  3. Step 3: Cross multiply
    981.96x = 1,472.76 × 404.16
  4. Step 4: Simplify right side
    981.96x = 595,230.68
  5. Step 5: Solve for x
    x = 595,230.68/981.96
  6. Step 6: Final answer
    x = 606.17

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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.