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Finding the Fourth Proportional to 805.11, 1,207.83 and 342.89

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Solution

The fourth proportional to 805.11, 1,207.83 and 342.89 is: 514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.11 : 1,207.83 = 342.89 : x
  2. Step 2: Convert to fraction form
    805.11/1,207.83 = 342.89/x
  3. Step 3: Cross multiply
    805.11x = 1,207.83 × 342.89
  4. Step 4: Simplify right side
    805.11x = 414,152.83
  5. Step 5: Solve for x
    x = 414,152.83/805.11
  6. Step 6: Final answer
    x = 514.41

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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.