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Finding the Fourth Proportional to 521.70, 719.70 and 381.75

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Solution

The fourth proportional to 521.70, 719.70 and 381.75 is: 526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.70 : 719.70 = 381.75 : x
  2. Step 2: Convert to fraction form
    521.70/719.70 = 381.75/x
  3. Step 3: Cross multiply
    521.70x = 719.70 × 381.75
  4. Step 4: Simplify right side
    521.70x = 274,745.48
  5. Step 5: Solve for x
    x = 274,745.48/521.70
  6. Step 6: Final answer
    x = 526.63

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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.