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Finding the Fourth Proportional to 717.36, 989.84 and 418.64

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Solution

The fourth proportional to 717.36, 989.84 and 418.64 is: 577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.36 : 989.84 = 418.64 : x
  2. Step 2: Convert to fraction form
    717.36/989.84 = 418.64/x
  3. Step 3: Cross multiply
    717.36x = 989.84 × 418.64
  4. Step 4: Simplify right side
    717.36x = 414,386.62
  5. Step 5: Solve for x
    x = 414,386.62/717.36
  6. Step 6: Final answer
    x = 577.66

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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.