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Finding the Fourth Proportional to 521.37, 719.40 and 334.80

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Solution

The fourth proportional to 521.37, 719.40 and 334.80 is: 461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.37 : 719.40 = 334.80 : x
  2. Step 2: Convert to fraction form
    521.37/719.40 = 334.80/x
  3. Step 3: Cross multiply
    521.37x = 719.40 × 334.80
  4. Step 4: Simplify right side
    521.37x = 240,854.49
  5. Step 5: Solve for x
    x = 240,854.49/521.37
  6. Step 6: Final answer
    x = 461.96

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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.