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Finding the Fourth Proportional to 472.49, 650.66 and 416.19

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Solution

The fourth proportional to 472.49, 650.66 and 416.19 is: 573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.49 : 650.66 = 416.19 : x
  2. Step 2: Convert to fraction form
    472.49/650.66 = 416.19/x
  3. Step 3: Cross multiply
    472.49x = 650.66 × 416.19
  4. Step 4: Simplify right side
    472.49x = 270,798.19
  5. Step 5: Solve for x
    x = 270,798.19/472.49
  6. Step 6: Final answer
    x = 573.13

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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.