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Finding the Fourth Proportional to 521.09, 719.02 and 311.35

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Solution

The fourth proportional to 521.09, 719.02 and 311.35 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.09 : 719.02 = 311.35 : x
  2. Step 2: Convert to fraction form
    521.09/719.02 = 311.35/x
  3. Step 3: Cross multiply
    521.09x = 719.02 × 311.35
  4. Step 4: Simplify right side
    521.09x = 223,865.32
  5. Step 5: Solve for x
    x = 223,865.32/521.09
  6. Step 6: Final answer
    x = 429.61

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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.