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Finding the Fourth Proportional to 824.50, 1,137.81 and 475.18

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Solution

The fourth proportional to 824.50, 1,137.81 and 475.18 is: 655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.50 : 1,137.81 = 475.18 : x
  2. Step 2: Convert to fraction form
    824.50/1,137.81 = 475.18/x
  3. Step 3: Cross multiply
    824.50x = 1,137.81 × 475.18
  4. Step 4: Simplify right side
    824.50x = 540,664.56
  5. Step 5: Solve for x
    x = 540,664.56/824.50
  6. Step 6: Final answer
    x = 655.75

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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.