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Finding the Fourth Proportional to 798.65, 1,102.09 and 467.06

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Solution

The fourth proportional to 798.65, 1,102.09 and 467.06 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.65 : 1,102.09 = 467.06 : x
  2. Step 2: Convert to fraction form
    798.65/1,102.09 = 467.06/x
  3. Step 3: Cross multiply
    798.65x = 1,102.09 × 467.06
  4. Step 4: Simplify right side
    798.65x = 514,736.85
  5. Step 5: Solve for x
    x = 514,736.85/798.65
  6. Step 6: Final answer
    x = 644.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.