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Finding the Fourth Proportional to 717.49, 990.11 and 406.99

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Solution

The fourth proportional to 717.49, 990.11 and 406.99 is: 561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.49 : 990.11 = 406.99 : x
  2. Step 2: Convert to fraction form
    717.49/990.11 = 406.99/x
  3. Step 3: Cross multiply
    717.49x = 990.11 × 406.99
  4. Step 4: Simplify right side
    717.49x = 402,957.88
  5. Step 5: Solve for x
    x = 402,957.88/717.49
  6. Step 6: Final answer
    x = 561.63

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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.