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Finding the Fourth Proportional to 716.98, 989.42 and 402.25

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Solution

The fourth proportional to 716.98, 989.42 and 402.25 is: 555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.98 : 989.42 = 402.25 : x
  2. Step 2: Convert to fraction form
    716.98/989.42 = 402.25/x
  3. Step 3: Cross multiply
    716.98x = 989.42 × 402.25
  4. Step 4: Simplify right side
    716.98x = 397,994.20
  5. Step 5: Solve for x
    x = 397,994.20/716.98
  6. Step 6: Final answer
    x = 555.10

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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.