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Finding the Fourth Proportional to 823.11, 1,135.50 and 587.10

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Solution

The fourth proportional to 823.11, 1,135.50 and 587.10 is: 809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.11 : 1,135.50 = 587.10 : x
  2. Step 2: Convert to fraction form
    823.11/1,135.50 = 587.10/x
  3. Step 3: Cross multiply
    823.11x = 1,135.50 × 587.10
  4. Step 4: Simplify right side
    823.11x = 666,652.05
  5. Step 5: Solve for x
    x = 666,652.05/823.11
  6. Step 6: Final answer
    x = 809.92

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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.