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Finding the Fourth Proportional to 663.19, 914.14 and 523.08

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Solution

The fourth proportional to 663.19, 914.14 and 523.08 is: 721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.19 : 914.14 = 523.08 : x
  2. Step 2: Convert to fraction form
    663.19/914.14 = 523.08/x
  3. Step 3: Cross multiply
    663.19x = 914.14 × 523.08
  4. Step 4: Simplify right side
    663.19x = 478,168.35
  5. Step 5: Solve for x
    x = 478,168.35/663.19
  6. Step 6: Final answer
    x = 721.01

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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.