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Finding the Fourth Proportional to 824.24, 1,234.58 and 775.77

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Solution

The fourth proportional to 824.24, 1,234.58 and 775.77 is: 1,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.24 : 1,234.58 = 775.77 : x
  2. Step 2: Convert to fraction form
    824.24/1,234.58 = 775.77/x
  3. Step 3: Cross multiply
    824.24x = 1,234.58 × 775.77
  4. Step 4: Simplify right side
    824.24x = 957,746.25
  5. Step 5: Solve for x
    x = 957,746.25/824.24
  6. Step 6: Final answer
    x = 1,161.98

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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.