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Finding the Fourth Proportional to 523.49, 722.28 and 302.43

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Solution

The fourth proportional to 523.49, 722.28 and 302.43 is: 417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 722.28 = 302.43 : x
  2. Step 2: Convert to fraction form
    523.49/722.28 = 302.43/x
  3. Step 3: Cross multiply
    523.49x = 722.28 × 302.43
  4. Step 4: Simplify right side
    523.49x = 218,439.14
  5. Step 5: Solve for x
    x = 218,439.14/523.49
  6. Step 6: Final answer
    x = 417.27

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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.