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Finding the Fourth Proportional to 807.24, 1,209.96 and 319.98

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Solution

The fourth proportional to 807.24, 1,209.96 and 319.98 is: 479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.24 : 1,209.96 = 319.98 : x
  2. Step 2: Convert to fraction form
    807.24/1,209.96 = 319.98/x
  3. Step 3: Cross multiply
    807.24x = 1,209.96 × 319.98
  4. Step 4: Simplify right side
    807.24x = 387,163.00
  5. Step 5: Solve for x
    x = 387,163.00/807.24
  6. Step 6: Final answer
    x = 479.61

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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.