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Finding the Fourth Proportional to 536.92, 739.02 and 381.40

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Solution

The fourth proportional to 536.92, 739.02 and 381.40 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.92 : 739.02 = 381.40 : x
  2. Step 2: Convert to fraction form
    536.92/739.02 = 381.40/x
  3. Step 3: Cross multiply
    536.92x = 739.02 × 381.40
  4. Step 4: Simplify right side
    536.92x = 281,862.23
  5. Step 5: Solve for x
    x = 281,862.23/536.92
  6. Step 6: Final answer
    x = 524.96

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1.5x scale

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.