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Finding the Fourth Proportional to 537.97, 741.74 and 390.55

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Solution

The fourth proportional to 537.97, 741.74 and 390.55 is: 538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.97 : 741.74 = 390.55 : x
  2. Step 2: Convert to fraction form
    537.97/741.74 = 390.55/x
  3. Step 3: Cross multiply
    537.97x = 741.74 × 390.55
  4. Step 4: Simplify right side
    537.97x = 289,686.56
  5. Step 5: Solve for x
    x = 289,686.56/537.97
  6. Step 6: Final answer
    x = 538.48

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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.