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Finding the Fourth Proportional to 554.24, 765.14 and 378.14

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Solution

The fourth proportional to 554.24, 765.14 and 378.14 is: 522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 765.14 = 378.14 : x
  2. Step 2: Convert to fraction form
    554.24/765.14 = 378.14/x
  3. Step 3: Cross multiply
    554.24x = 765.14 × 378.14
  4. Step 4: Simplify right side
    554.24x = 289,324.32
  5. Step 5: Solve for x
    x = 289,324.32/554.24
  6. Step 6: Final answer
    x = 522.02

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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.