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Finding the Fourth Proportional to 824.59, 1,237.16 and 439.75

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Solution

The fourth proportional to 824.59, 1,237.16 and 439.75 is: 659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.59 : 1,237.16 = 439.75 : x
  2. Step 2: Convert to fraction form
    824.59/1,237.16 = 439.75/x
  3. Step 3: Cross multiply
    824.59x = 1,237.16 × 439.75
  4. Step 4: Simplify right side
    824.59x = 544,038.91
  5. Step 5: Solve for x
    x = 544,038.91/824.59
  6. Step 6: Final answer
    x = 659.77

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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.