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Finding the Fourth Proportional to 535.78, 738.57 and 419.14

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Solution

The fourth proportional to 535.78, 738.57 and 419.14 is: 577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 738.57 = 419.14 : x
  2. Step 2: Convert to fraction form
    535.78/738.57 = 419.14/x
  3. Step 3: Cross multiply
    535.78x = 738.57 × 419.14
  4. Step 4: Simplify right side
    535.78x = 309,564.23
  5. Step 5: Solve for x
    x = 309,564.23/535.78
  6. Step 6: Final answer
    x = 577.78

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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.