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Finding the Fourth Proportional to 537.58, 741.54 and 340.66

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Solution

The fourth proportional to 537.58, 741.54 and 340.66 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.58 : 741.54 = 340.66 : x
  2. Step 2: Convert to fraction form
    537.58/741.54 = 340.66/x
  3. Step 3: Cross multiply
    537.58x = 741.54 × 340.66
  4. Step 4: Simplify right side
    537.58x = 252,613.02
  5. Step 5: Solve for x
    x = 252,613.02/537.58
  6. Step 6: Final answer
    x = 469.91

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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.