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Finding the Fourth Proportional to 824.50, 1,232.20 and 661.42

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Solution

The fourth proportional to 824.50, 1,232.20 and 661.42 is: 988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.50 : 1,232.20 = 661.42 : x
  2. Step 2: Convert to fraction form
    824.50/1,232.20 = 661.42/x
  3. Step 3: Cross multiply
    824.50x = 1,232.20 × 661.42
  4. Step 4: Simplify right side
    824.50x = 815,001.72
  5. Step 5: Solve for x
    x = 815,001.72/824.50
  6. Step 6: Final answer
    x = 988.48

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.