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Finding the Fourth Proportional to 512.12, 765.36 and 374.24

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Solution

The fourth proportional to 512.12, 765.36 and 374.24 is: 559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 765.36 = 374.24 : x
  2. Step 2: Convert to fraction form
    512.12/765.36 = 374.24/x
  3. Step 3: Cross multiply
    512.12x = 765.36 × 374.24
  4. Step 4: Simplify right side
    512.12x = 286,428.33
  5. Step 5: Solve for x
    x = 286,428.33/512.12
  6. Step 6: Final answer
    x = 559.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.