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Finding the Fourth Proportional to 824.40, 1,235.76 and 803.36

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Solution

The fourth proportional to 824.40, 1,235.76 and 803.36 is: 1,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.40 : 1,235.76 = 803.36 : x
  2. Step 2: Convert to fraction form
    824.40/1,235.76 = 803.36/x
  3. Step 3: Cross multiply
    824.40x = 1,235.76 × 803.36
  4. Step 4: Simplify right side
    824.40x = 992,760.15
  5. Step 5: Solve for x
    x = 992,760.15/824.40
  6. Step 6: Final answer
    x = 1,204.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.