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Finding the Fourth Proportional to 824.43, 1,234.69 and 715.63

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Solution

The fourth proportional to 824.43, 1,234.69 and 715.63 is: 1,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.43 : 1,234.69 = 715.63 : x
  2. Step 2: Convert to fraction form
    824.43/1,234.69 = 715.63/x
  3. Step 3: Cross multiply
    824.43x = 1,234.69 × 715.63
  4. Step 4: Simplify right side
    824.43x = 883,582.67
  5. Step 5: Solve for x
    x = 883,582.67/824.43
  6. Step 6: Final answer
    x = 1,071.75

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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.