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Finding the Fourth Proportional to 981.51, 1,472.36 and 332.25

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Solution

The fourth proportional to 981.51, 1,472.36 and 332.25 is: 498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.51 : 1,472.36 = 332.25 : x
  2. Step 2: Convert to fraction form
    981.51/1,472.36 = 332.25/x
  3. Step 3: Cross multiply
    981.51x = 1,472.36 × 332.25
  4. Step 4: Simplify right side
    981.51x = 489,189.95
  5. Step 5: Solve for x
    x = 489,189.95/981.51
  6. Step 6: Final answer
    x = 498.41

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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.