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Finding the Fourth Proportional to 432.54, 643.59 and 431.12

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Solution

The fourth proportional to 432.54, 643.59 and 431.12 is: 641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 643.59 = 431.12 : x
  2. Step 2: Convert to fraction form
    432.54/643.59 = 431.12/x
  3. Step 3: Cross multiply
    432.54x = 643.59 × 431.12
  4. Step 4: Simplify right side
    432.54x = 277,466.13
  5. Step 5: Solve for x
    x = 277,466.13/432.54
  6. Step 6: Final answer
    x = 641.48

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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.