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Finding the Fourth Proportional to 520.98, 718.98 and 311.22

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Solution

The fourth proportional to 520.98, 718.98 and 311.22 is: 429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.98 : 718.98 = 311.22 : x
  2. Step 2: Convert to fraction form
    520.98/718.98 = 311.22/x
  3. Step 3: Cross multiply
    520.98x = 718.98 × 311.22
  4. Step 4: Simplify right side
    520.98x = 223,760.96
  5. Step 5: Solve for x
    x = 223,760.96/520.98
  6. Step 6: Final answer
    x = 429.50

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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.