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Finding the Fourth Proportional to 824.20, 1,137.38 and 474.92

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Solution

The fourth proportional to 824.20, 1,137.38 and 474.92 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,137.38 = 474.92 : x
  2. Step 2: Convert to fraction form
    824.20/1,137.38 = 474.92/x
  3. Step 3: Cross multiply
    824.20x = 1,137.38 × 474.92
  4. Step 4: Simplify right side
    824.20x = 540,164.51
  5. Step 5: Solve for x
    x = 540,164.51/824.20
  6. Step 6: Final answer
    x = 655.38

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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.