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Finding the Fourth Proportional to 808.30, 1,212.41 and 260.47

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Solution

The fourth proportional to 808.30, 1,212.41 and 260.47 is: 390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.30 : 1,212.41 = 260.47 : x
  2. Step 2: Convert to fraction form
    808.30/1,212.41 = 260.47/x
  3. Step 3: Cross multiply
    808.30x = 1,212.41 × 260.47
  4. Step 4: Simplify right side
    808.30x = 315,798.60
  5. Step 5: Solve for x
    x = 315,798.60/808.30
  6. Step 6: Final answer
    x = 390.69

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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.