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Finding the Fourth Proportional to 824.27, 1,237.64 and 784.64

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Solution

The fourth proportional to 824.27, 1,237.64 and 784.64 is: 1,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.27 : 1,237.64 = 784.64 : x
  2. Step 2: Convert to fraction form
    824.27/1,237.64 = 784.64/x
  3. Step 3: Cross multiply
    824.27x = 1,237.64 × 784.64
  4. Step 4: Simplify right side
    824.27x = 971,091.74
  5. Step 5: Solve for x
    x = 971,091.74/824.27
  6. Step 6: Final answer
    x = 1,178.13

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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.