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Finding the Fourth Proportional to 507.90, 700.96 and 311.56

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Solution

The fourth proportional to 507.90, 700.96 and 311.56 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.90 : 700.96 = 311.56 : x
  2. Step 2: Convert to fraction form
    507.90/700.96 = 311.56/x
  3. Step 3: Cross multiply
    507.90x = 700.96 × 311.56
  4. Step 4: Simplify right side
    507.90x = 218,391.10
  5. Step 5: Solve for x
    x = 218,391.10/507.90
  6. Step 6: Final answer
    x = 429.99

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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.