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Finding the Fourth Proportional to 727.17, 1,003.62 and 428.44

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Solution

The fourth proportional to 727.17, 1,003.62 and 428.44 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.17 : 1,003.62 = 428.44 : x
  2. Step 2: Convert to fraction form
    727.17/1,003.62 = 428.44/x
  3. Step 3: Cross multiply
    727.17x = 1,003.62 × 428.44
  4. Step 4: Simplify right side
    727.17x = 429,985.93
  5. Step 5: Solve for x
    x = 429,985.93/727.17
  6. Step 6: Final answer
    x = 591.31

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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.