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Finding the Fourth Proportional to 521.63, 719.73 and 311.88

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Solution

The fourth proportional to 521.63, 719.73 and 311.88 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.63 : 719.73 = 311.88 : x
  2. Step 2: Convert to fraction form
    521.63/719.73 = 311.88/x
  3. Step 3: Cross multiply
    521.63x = 719.73 × 311.88
  4. Step 4: Simplify right side
    521.63x = 224,472.09
  5. Step 5: Solve for x
    x = 224,472.09/521.63
  6. Step 6: Final answer
    x = 430.33

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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.