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Finding the Fourth Proportional to 823.39, 1,135.45 and 528.14

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Solution

The fourth proportional to 823.39, 1,135.45 and 528.14 is: 728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.39 : 1,135.45 = 528.14 : x
  2. Step 2: Convert to fraction form
    823.39/1,135.45 = 528.14/x
  3. Step 3: Cross multiply
    823.39x = 1,135.45 × 528.14
  4. Step 4: Simplify right side
    823.39x = 599,676.56
  5. Step 5: Solve for x
    x = 599,676.56/823.39
  6. Step 6: Final answer
    x = 728.30

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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.