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Finding the Fourth Proportional to 469.13, 650.41 and 441.18

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Solution

The fourth proportional to 469.13, 650.41 and 441.18 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 650.41 = 441.18 : x
  2. Step 2: Convert to fraction form
    469.13/650.41 = 441.18/x
  3. Step 3: Cross multiply
    469.13x = 650.41 × 441.18
  4. Step 4: Simplify right side
    469.13x = 286,946.78
  5. Step 5: Solve for x
    x = 286,946.78/469.13
  6. Step 6: Final answer
    x = 611.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.