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Finding the Fourth Proportional to 432.40, 643.62 and 412.48

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Solution

The fourth proportional to 432.40, 643.62 and 412.48 is: 613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 643.62 = 412.48 : x
  2. Step 2: Convert to fraction form
    432.40/643.62 = 412.48/x
  3. Step 3: Cross multiply
    432.40x = 643.62 × 412.48
  4. Step 4: Simplify right side
    432.40x = 265,480.38
  5. Step 5: Solve for x
    x = 265,480.38/432.40
  6. Step 6: Final answer
    x = 613.97

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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.