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Finding the Fourth Proportional to 536.74, 741.18 and 519.31

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Solution

The fourth proportional to 536.74, 741.18 and 519.31 is: 717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.74 : 741.18 = 519.31 : x
  2. Step 2: Convert to fraction form
    536.74/741.18 = 519.31/x
  3. Step 3: Cross multiply
    536.74x = 741.18 × 519.31
  4. Step 4: Simplify right side
    536.74x = 384,899.59
  5. Step 5: Solve for x
    x = 384,899.59/536.74
  6. Step 6: Final answer
    x = 717.11

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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.