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Finding the Fourth Proportional to 717.31, 989.95 and 418.65

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Solution

The fourth proportional to 717.31, 989.95 and 418.65 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.31 : 989.95 = 418.65 : x
  2. Step 2: Convert to fraction form
    717.31/989.95 = 418.65/x
  3. Step 3: Cross multiply
    717.31x = 989.95 × 418.65
  4. Step 4: Simplify right side
    717.31x = 414,440.47
  5. Step 5: Solve for x
    x = 414,440.47/717.31
  6. Step 6: Final answer
    x = 577.77

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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.