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Finding the Fourth Proportional to 717.16, 989.76 and 451.84

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Solution

The fourth proportional to 717.16, 989.76 and 451.84 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.16 : 989.76 = 451.84 : x
  2. Step 2: Convert to fraction form
    717.16/989.76 = 451.84/x
  3. Step 3: Cross multiply
    717.16x = 989.76 × 451.84
  4. Step 4: Simplify right side
    717.16x = 447,213.16
  5. Step 5: Solve for x
    x = 447,213.16/717.16
  6. Step 6: Final answer
    x = 623.59

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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.