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Finding the Fourth Proportional to 537.58, 741.36 and 340.74

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Solution

The fourth proportional to 537.58, 741.36 and 340.74 is: 469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.58 : 741.36 = 340.74 : x
  2. Step 2: Convert to fraction form
    537.58/741.36 = 340.74/x
  3. Step 3: Cross multiply
    537.58x = 741.36 × 340.74
  4. Step 4: Simplify right side
    537.58x = 252,611.01
  5. Step 5: Solve for x
    x = 252,611.01/537.58
  6. Step 6: Final answer
    x = 469.90

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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.