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Finding the Fourth Proportional to 981.86, 1,472.40 and 332.42

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Solution

The fourth proportional to 981.86, 1,472.40 and 332.42 is: 498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.86 : 1,472.40 = 332.42 : x
  2. Step 2: Convert to fraction form
    981.86/1,472.40 = 332.42/x
  3. Step 3: Cross multiply
    981.86x = 1,472.40 × 332.42
  4. Step 4: Simplify right side
    981.86x = 489,455.21
  5. Step 5: Solve for x
    x = 489,455.21/981.86
  6. Step 6: Final answer
    x = 498.50

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Double scale
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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.