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Finding the Fourth Proportional to 805.87, 1,207.86 and 319.06

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Solution

The fourth proportional to 805.87, 1,207.86 and 319.06 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.87 : 1,207.86 = 319.06 : x
  2. Step 2: Convert to fraction form
    805.87/1,207.86 = 319.06/x
  3. Step 3: Cross multiply
    805.87x = 1,207.86 × 319.06
  4. Step 4: Simplify right side
    805.87x = 385,379.81
  5. Step 5: Solve for x
    x = 385,379.81/805.87
  6. Step 6: Final answer
    x = 478.22

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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.