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Finding the Fourth Proportional to 824.64, 1,138.08 and 649.60

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Solution

The fourth proportional to 824.64, 1,138.08 and 649.60 is: 896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.64 : 1,138.08 = 649.60 : x
  2. Step 2: Convert to fraction form
    824.64/1,138.08 = 649.60/x
  3. Step 3: Cross multiply
    824.64x = 1,138.08 × 649.60
  4. Step 4: Simplify right side
    824.64x = 739,296.77
  5. Step 5: Solve for x
    x = 739,296.77/824.64
  6. Step 6: Final answer
    x = 896.51

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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.