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Finding the Fourth Proportional to 523.14, 722.16 and 418.38

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Solution

The fourth proportional to 523.14, 722.16 and 418.38 is: 577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 722.16 = 418.38 : x
  2. Step 2: Convert to fraction form
    523.14/722.16 = 418.38/x
  3. Step 3: Cross multiply
    523.14x = 722.16 × 418.38
  4. Step 4: Simplify right side
    523.14x = 302,137.30
  5. Step 5: Solve for x
    x = 302,137.30/523.14
  6. Step 6: Final answer
    x = 577.55

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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.