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Finding the Fourth Proportional to 717.44, 1,076 and 428.96

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Solution

The fourth proportional to 717.44, 1,076 and 428.96 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.44 : 1,076 = 428.96 : x
  2. Step 2: Convert to fraction form
    717.44/1,076 = 428.96/x
  3. Step 3: Cross multiply
    717.44x = 1,076 × 428.96
  4. Step 4: Simplify right side
    717.44x = 461,560.96
  5. Step 5: Solve for x
    x = 461,560.96/717.44
  6. Step 6: Final answer
    x = 643.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.