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Finding the Fourth Proportional to 536.68, 741.06 and 379.34

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Solution

The fourth proportional to 536.68, 741.06 and 379.34 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 741.06 = 379.34 : x
  2. Step 2: Convert to fraction form
    536.68/741.06 = 379.34/x
  3. Step 3: Cross multiply
    536.68x = 741.06 × 379.34
  4. Step 4: Simplify right side
    536.68x = 281,113.70
  5. Step 5: Solve for x
    x = 281,113.70/536.68
  6. Step 6: Final answer
    x = 523.80

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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.