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Finding the Fourth Proportional to 643.88, 887.72 and 433.71

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Solution

The fourth proportional to 643.88, 887.72 and 433.71 is: 597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.88 : 887.72 = 433.71 : x
  2. Step 2: Convert to fraction form
    643.88/887.72 = 433.71/x
  3. Step 3: Cross multiply
    643.88x = 887.72 × 433.71
  4. Step 4: Simplify right side
    643.88x = 385,010.87
  5. Step 5: Solve for x
    x = 385,010.87/643.88
  6. Step 6: Final answer
    x = 597.96

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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.