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Finding the Fourth Proportional to 507.85, 700.83 and 311.23

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Solution

The fourth proportional to 507.85, 700.83 and 311.23 is: 429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 700.83 = 311.23 : x
  2. Step 2: Convert to fraction form
    507.85/700.83 = 311.23/x
  3. Step 3: Cross multiply
    507.85x = 700.83 × 311.23
  4. Step 4: Simplify right side
    507.85x = 218,119.32
  5. Step 5: Solve for x
    x = 218,119.32/507.85
  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.