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Finding the Fourth Proportional to 643.14, 886.64 and 406.97

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Solution

The fourth proportional to 643.14, 886.64 and 406.97 is: 561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 886.64 = 406.97 : x
  2. Step 2: Convert to fraction form
    643.14/886.64 = 406.97/x
  3. Step 3: Cross multiply
    643.14x = 886.64 × 406.97
  4. Step 4: Simplify right side
    643.14x = 360,831.45
  5. Step 5: Solve for x
    x = 360,831.45/643.14
  6. Step 6: Final answer
    x = 561.05

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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.