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Finding the Fourth Proportional to 981.44, 1,472.19 and 332.22

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Solution

The fourth proportional to 981.44, 1,472.19 and 332.22 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.44 : 1,472.19 = 332.22 : x
  2. Step 2: Convert to fraction form
    981.44/1,472.19 = 332.22/x
  3. Step 3: Cross multiply
    981.44x = 1,472.19 × 332.22
  4. Step 4: Simplify right side
    981.44x = 489,090.96
  5. Step 5: Solve for x
    x = 489,090.96/981.44
  6. Step 6: Final answer
    x = 498.34

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1.5x scale

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.