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Finding the Fourth Proportional to 716.70, 988.79 and 406.20

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Solution

The fourth proportional to 716.70, 988.79 and 406.20 is: 560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.70 : 988.79 = 406.20 : x
  2. Step 2: Convert to fraction form
    716.70/988.79 = 406.20/x
  3. Step 3: Cross multiply
    716.70x = 988.79 × 406.20
  4. Step 4: Simplify right side
    716.70x = 401,646.50
  5. Step 5: Solve for x
    x = 401,646.50/716.70
  6. Step 6: Final answer
    x = 560.41

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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.