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Finding the Fourth Proportional to 521.58, 719.73 and 311.79

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Solution

The fourth proportional to 521.58, 719.73 and 311.79 is: 430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.58 : 719.73 = 311.79 : x
  2. Step 2: Convert to fraction form
    521.58/719.73 = 311.79/x
  3. Step 3: Cross multiply
    521.58x = 719.73 × 311.79
  4. Step 4: Simplify right side
    521.58x = 224,404.62
  5. Step 5: Solve for x
    x = 224,404.62/521.58
  6. Step 6: Final answer
    x = 430.24

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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.