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Finding the Fourth Proportional to 407.52, 559.80 and 380.52

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Solution

The fourth proportional to 407.52, 559.80 and 380.52 is: 522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.52 : 559.80 = 380.52 : x
  2. Step 2: Convert to fraction form
    407.52/559.80 = 380.52/x
  3. Step 3: Cross multiply
    407.52x = 559.80 × 380.52
  4. Step 4: Simplify right side
    407.52x = 213,015.10
  5. Step 5: Solve for x
    x = 213,015.10/407.52
  6. Step 6: Final answer
    x = 522.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.