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Finding the Fourth Proportional to 823.18, 1,233.18 and 411.31

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Solution

The fourth proportional to 823.18, 1,233.18 and 411.31 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.18 : 1,233.18 = 411.31 : x
  2. Step 2: Convert to fraction form
    823.18/1,233.18 = 411.31/x
  3. Step 3: Cross multiply
    823.18x = 1,233.18 × 411.31
  4. Step 4: Simplify right side
    823.18x = 507,219.27
  5. Step 5: Solve for x
    x = 507,219.27/823.18
  6. Step 6: Final answer
    x = 616.17

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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.