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Finding the Fourth Proportional to 862.81, 1,190.67 and 469.81

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Solution

The fourth proportional to 862.81, 1,190.67 and 469.81 is: 648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.81 : 1,190.67 = 469.81 : x
  2. Step 2: Convert to fraction form
    862.81/1,190.67 = 469.81/x
  3. Step 3: Cross multiply
    862.81x = 1,190.67 × 469.81
  4. Step 4: Simplify right side
    862.81x = 559,388.67
  5. Step 5: Solve for x
    x = 559,388.67/862.81
  6. Step 6: Final answer
    x = 648.33

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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.