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Finding the Fourth Proportional to 805.31, 1,209.99 and 512.94

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Solution

The fourth proportional to 805.31, 1,209.99 and 512.94 is: 770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.31 : 1,209.99 = 512.94 : x
  2. Step 2: Convert to fraction form
    805.31/1,209.99 = 512.94/x
  3. Step 3: Cross multiply
    805.31x = 1,209.99 × 512.94
  4. Step 4: Simplify right side
    805.31x = 620,652.27
  5. Step 5: Solve for x
    x = 620,652.27/805.31
  6. Step 6: Final answer
    x = 770.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.