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Finding the Fourth Proportional to 804.65, 1,208.79 and 531.27

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Solution

The fourth proportional to 804.65, 1,208.79 and 531.27 is: 798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.65 : 1,208.79 = 531.27 : x
  2. Step 2: Convert to fraction form
    804.65/1,208.79 = 531.27/x
  3. Step 3: Cross multiply
    804.65x = 1,208.79 × 531.27
  4. Step 4: Simplify right side
    804.65x = 642,193.86
  5. Step 5: Solve for x
    x = 642,193.86/804.65
  6. Step 6: Final answer
    x = 798.11

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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.