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Finding the Fourth Proportional to 862.21, 1,189.83 and 469.23

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Solution

The fourth proportional to 862.21, 1,189.83 and 469.23 is: 647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.21 : 1,189.83 = 469.23 : x
  2. Step 2: Convert to fraction form
    862.21/1,189.83 = 469.23/x
  3. Step 3: Cross multiply
    862.21x = 1,189.83 × 469.23
  4. Step 4: Simplify right side
    862.21x = 558,301.58
  5. Step 5: Solve for x
    x = 558,301.58/862.21
  6. Step 6: Final answer
    x = 647.53

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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.