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Finding the Fourth Proportional to 807.93, 1,212.09 and 288.06

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Solution

The fourth proportional to 807.93, 1,212.09 and 288.06 is: 432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.93 : 1,212.09 = 288.06 : x
  2. Step 2: Convert to fraction form
    807.93/1,212.09 = 288.06/x
  3. Step 3: Cross multiply
    807.93x = 1,212.09 × 288.06
  4. Step 4: Simplify right side
    807.93x = 349,154.65
  5. Step 5: Solve for x
    x = 349,154.65/807.93
  6. Step 6: Final answer
    x = 432.16

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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.