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Finding the Fourth Proportional to 663.70, 914.84 and 523.58

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Solution

The fourth proportional to 663.70, 914.84 and 523.58 is: 721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.70 : 914.84 = 523.58 : x
  2. Step 2: Convert to fraction form
    663.70/914.84 = 523.58/x
  3. Step 3: Cross multiply
    663.70x = 914.84 × 523.58
  4. Step 4: Simplify right side
    663.70x = 478,991.93
  5. Step 5: Solve for x
    x = 478,991.93/663.70
  6. Step 6: Final answer
    x = 721.70

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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.