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Finding the Fourth Proportional to 824.20, 1,137.71 and 562.57

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Solution

The fourth proportional to 824.20, 1,137.71 and 562.57 is: 776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,137.71 = 562.57 : x
  2. Step 2: Convert to fraction form
    824.20/1,137.71 = 562.57/x
  3. Step 3: Cross multiply
    824.20x = 1,137.71 × 562.57
  4. Step 4: Simplify right side
    824.20x = 640,041.51
  5. Step 5: Solve for x
    x = 640,041.51/824.20
  6. Step 6: Final answer
    x = 776.56

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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.