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Finding the Fourth Proportional to 981.51, 1,472.40 and 404.25

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Solution

The fourth proportional to 981.51, 1,472.40 and 404.25 is: 606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.51 : 1,472.40 = 404.25 : x
  2. Step 2: Convert to fraction form
    981.51/1,472.40 = 404.25/x
  3. Step 3: Cross multiply
    981.51x = 1,472.40 × 404.25
  4. Step 4: Simplify right side
    981.51x = 595,217.70
  5. Step 5: Solve for x
    x = 595,217.70/981.51
  6. Step 6: Final answer
    x = 606.43

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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.