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Finding the Fourth Proportional to 862.64, 1,190.41 and 469.66

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Solution

The fourth proportional to 862.64, 1,190.41 and 469.66 is: 648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.64 : 1,190.41 = 469.66 : x
  2. Step 2: Convert to fraction form
    862.64/1,190.41 = 469.66/x
  3. Step 3: Cross multiply
    862.64x = 1,190.41 × 469.66
  4. Step 4: Simplify right side
    862.64x = 559,087.96
  5. Step 5: Solve for x
    x = 559,087.96/862.64
  6. Step 6: Final answer
    x = 648.11

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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.