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Finding the Fourth Proportional to 823.38, 1,133.64 and 698.86

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Solution

The fourth proportional to 823.38, 1,133.64 and 698.86 is: 962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,133.64 = 698.86 : x
  2. Step 2: Convert to fraction form
    823.38/1,133.64 = 698.86/x
  3. Step 3: Cross multiply
    823.38x = 1,133.64 × 698.86
  4. Step 4: Simplify right side
    823.38x = 792,255.65
  5. Step 5: Solve for x
    x = 792,255.65/823.38
  6. Step 6: Final answer
    x = 962.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.