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Finding the Fourth Proportional to 537.40, 740.62 and 406.20

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Solution

The fourth proportional to 537.40, 740.62 and 406.20 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 740.62 = 406.20 : x
  2. Step 2: Convert to fraction form
    537.40/740.62 = 406.20/x
  3. Step 3: Cross multiply
    537.40x = 740.62 × 406.20
  4. Step 4: Simplify right side
    537.40x = 300,839.84
  5. Step 5: Solve for x
    x = 300,839.84/537.40
  6. Step 6: Final answer
    x = 559.81

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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.