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Finding the Fourth Proportional to 643.07, 887.22 and 406.96

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Solution

The fourth proportional to 643.07, 887.22 and 406.96 is: 561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.07 : 887.22 = 406.96 : x
  2. Step 2: Convert to fraction form
    643.07/887.22 = 406.96/x
  3. Step 3: Cross multiply
    643.07x = 887.22 × 406.96
  4. Step 4: Simplify right side
    643.07x = 361,060.83
  5. Step 5: Solve for x
    x = 361,060.83/643.07
  6. Step 6: Final answer
    x = 561.46

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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.