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Finding the Fourth Proportional to 505.44, 761.40 and 378

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Solution

The fourth proportional to 505.44, 761.40 and 378 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 761.40 = 378 : x
  2. Step 2: Convert to fraction form
    505.44/761.40 = 378/x
  3. Step 3: Cross multiply
    505.44x = 761.40 × 378
  4. Step 4: Simplify right side
    505.44x = 287,809.20
  5. Step 5: Solve for x
    x = 287,809.20/505.44
  6. Step 6: Final answer
    x = 569.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.