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Finding the Fourth Proportional to 717.32, 989.30 and 440.84

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Solution

The fourth proportional to 717.32, 989.30 and 440.84 is: 607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.32 : 989.30 = 440.84 : x
  2. Step 2: Convert to fraction form
    717.32/989.30 = 440.84/x
  3. Step 3: Cross multiply
    717.32x = 989.30 × 440.84
  4. Step 4: Simplify right side
    717.32x = 436,123.01
  5. Step 5: Solve for x
    x = 436,123.01/717.32
  6. Step 6: Final answer
    x = 607.99

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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.