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Finding the Fourth Proportional to 824.57, 1,236.05 and 477.59

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Solution

The fourth proportional to 824.57, 1,236.05 and 477.59 is: 715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.57 : 1,236.05 = 477.59 : x
  2. Step 2: Convert to fraction form
    824.57/1,236.05 = 477.59/x
  3. Step 3: Cross multiply
    824.57x = 1,236.05 × 477.59
  4. Step 4: Simplify right side
    824.57x = 590,316.55
  5. Step 5: Solve for x
    x = 590,316.55/824.57
  6. Step 6: Final answer
    x = 715.91

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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.