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Finding the Fourth Proportional to 805.74, 1,208.74 and 318.52

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Solution

The fourth proportional to 805.74, 1,208.74 and 318.52 is: 477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.74 : 1,208.74 = 318.52 : x
  2. Step 2: Convert to fraction form
    805.74/1,208.74 = 318.52/x
  3. Step 3: Cross multiply
    805.74x = 1,208.74 × 318.52
  4. Step 4: Simplify right side
    805.74x = 385,007.86
  5. Step 5: Solve for x
    x = 385,007.86/805.74
  6. Step 6: Final answer
    x = 477.83

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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.