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Finding the Fourth Proportional to 824.30, 1,137.49 and 475.10

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Solution

The fourth proportional to 824.30, 1,137.49 and 475.10 is: 655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.30 : 1,137.49 = 475.10 : x
  2. Step 2: Convert to fraction form
    824.30/1,137.49 = 475.10/x
  3. Step 3: Cross multiply
    824.30x = 1,137.49 × 475.10
  4. Step 4: Simplify right side
    824.30x = 540,415.81
  5. Step 5: Solve for x
    x = 540,415.81/824.30
  6. Step 6: Final answer
    x = 655.61

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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.