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Finding the Fourth Proportional to 981.48, 1,472.06 and 332.22

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Solution

The fourth proportional to 981.48, 1,472.06 and 332.22 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.48 : 1,472.06 = 332.22 : x
  2. Step 2: Convert to fraction form
    981.48/1,472.06 = 332.22/x
  3. Step 3: Cross multiply
    981.48x = 1,472.06 × 332.22
  4. Step 4: Simplify right side
    981.48x = 489,047.77
  5. Step 5: Solve for x
    x = 489,047.77/981.48
  6. Step 6: Final answer
    x = 498.28

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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.