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Finding the Fourth Proportional to 436.49, 650.46 and 424.61

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Solution

The fourth proportional to 436.49, 650.46 and 424.61 is: 632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.49 : 650.46 = 424.61 : x
  2. Step 2: Convert to fraction form
    436.49/650.46 = 424.61/x
  3. Step 3: Cross multiply
    436.49x = 650.46 × 424.61
  4. Step 4: Simplify right side
    436.49x = 276,191.82
  5. Step 5: Solve for x
    x = 276,191.82/436.49
  6. Step 6: Final answer
    x = 632.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.