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Finding the Fourth Proportional to 537.80, 740.39 and 419.61

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Solution

The fourth proportional to 537.80, 740.39 and 419.61 is: 577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 740.39 = 419.61 : x
  2. Step 2: Convert to fraction form
    537.80/740.39 = 419.61/x
  3. Step 3: Cross multiply
    537.80x = 740.39 × 419.61
  4. Step 4: Simplify right side
    537.80x = 310,672.95
  5. Step 5: Solve for x
    x = 310,672.95/537.80
  6. Step 6: Final answer
    x = 577.68

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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.