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Finding the Fourth Proportional to 436.32, 649.04 and 431.91

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Solution

The fourth proportional to 436.32, 649.04 and 431.91 is: 642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.32 : 649.04 = 431.91 : x
  2. Step 2: Convert to fraction form
    436.32/649.04 = 431.91/x
  3. Step 3: Cross multiply
    436.32x = 649.04 × 431.91
  4. Step 4: Simplify right side
    436.32x = 280,324.71
  5. Step 5: Solve for x
    x = 280,324.71/436.32
  6. Step 6: Final answer
    x = 642.48

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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.