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Finding the Fourth Proportional to 535.80, 738.54 and 419.16

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Solution

The fourth proportional to 535.80, 738.54 and 419.16 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 738.54 = 419.16 : x
  2. Step 2: Convert to fraction form
    535.80/738.54 = 419.16/x
  3. Step 3: Cross multiply
    535.80x = 738.54 × 419.16
  4. Step 4: Simplify right side
    535.80x = 309,566.43
  5. Step 5: Solve for x
    x = 309,566.43/535.80
  6. Step 6: Final answer
    x = 577.76

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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.