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Finding the Fourth Proportional to 523.80, 722.52 and 384.12

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Solution

The fourth proportional to 523.80, 722.52 and 384.12 is: 529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 722.52 = 384.12 : x
  2. Step 2: Convert to fraction form
    523.80/722.52 = 384.12/x
  3. Step 3: Cross multiply
    523.80x = 722.52 × 384.12
  4. Step 4: Simplify right side
    523.80x = 277,534.38
  5. Step 5: Solve for x
    x = 277,534.38/523.80
  6. Step 6: Final answer
    x = 529.85

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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.