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Finding the Fourth Proportional to 717.14, 989.60 and 406.64

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Solution

The fourth proportional to 717.14, 989.60 and 406.64 is: 561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 989.60 = 406.64 : x
  2. Step 2: Convert to fraction form
    717.14/989.60 = 406.64/x
  3. Step 3: Cross multiply
    717.14x = 989.60 × 406.64
  4. Step 4: Simplify right side
    717.14x = 402,410.94
  5. Step 5: Solve for x
    x = 402,410.94/717.14
  6. Step 6: Final answer
    x = 561.13

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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.