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Finding the Fourth Proportional to 824.12, 1,234.55 and 390.77

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Solution

The fourth proportional to 824.12, 1,234.55 and 390.77 is: 585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.12 : 1,234.55 = 390.77 : x
  2. Step 2: Convert to fraction form
    824.12/1,234.55 = 390.77/x
  3. Step 3: Cross multiply
    824.12x = 1,234.55 × 390.77
  4. Step 4: Simplify right side
    824.12x = 482,419.91
  5. Step 5: Solve for x
    x = 482,419.91/824.12
  6. Step 6: Final answer
    x = 585.38

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1.5x scale

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.