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Finding the Fourth Proportional to 523.62, 722.59 and 290.74

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Solution

The fourth proportional to 523.62, 722.59 and 290.74 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 722.59 = 290.74 : x
  2. Step 2: Convert to fraction form
    523.62/722.59 = 290.74/x
  3. Step 3: Cross multiply
    523.62x = 722.59 × 290.74
  4. Step 4: Simplify right side
    523.62x = 210,084.36
  5. Step 5: Solve for x
    x = 210,084.36/523.62
  6. Step 6: Final answer
    x = 401.22

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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.