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Finding the Fourth Proportional to 536.82, 741.99 and 390.48

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Solution

The fourth proportional to 536.82, 741.99 and 390.48 is: 539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 741.99 = 390.48 : x
  2. Step 2: Convert to fraction form
    536.82/741.99 = 390.48/x
  3. Step 3: Cross multiply
    536.82x = 741.99 × 390.48
  4. Step 4: Simplify right side
    536.82x = 289,732.26
  5. Step 5: Solve for x
    x = 289,732.26/536.82
  6. Step 6: Final answer
    x = 539.72

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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.