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Finding the Fourth Proportional to 507.99, 700.61 and 311.37

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Solution

The fourth proportional to 507.99, 700.61 and 311.37 is: 429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.99 : 700.61 = 311.37 : x
  2. Step 2: Convert to fraction form
    507.99/700.61 = 311.37/x
  3. Step 3: Cross multiply
    507.99x = 700.61 × 311.37
  4. Step 4: Simplify right side
    507.99x = 218,148.94
  5. Step 5: Solve for x
    x = 218,148.94/507.99
  6. Step 6: Final answer
    x = 429.44

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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.