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Finding the Fourth Proportional to 717.10, 989.53 and 418.38

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Solution

The fourth proportional to 717.10, 989.53 and 418.38 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.10 : 989.53 = 418.38 : x
  2. Step 2: Convert to fraction form
    717.10/989.53 = 418.38/x
  3. Step 3: Cross multiply
    717.10x = 989.53 × 418.38
  4. Step 4: Simplify right side
    717.10x = 413,999.56
  5. Step 5: Solve for x
    x = 413,999.56/717.10
  6. Step 6: Final answer
    x = 577.32

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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.