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Finding the Fourth Proportional to 800.98, 1,200.66 and 508.70

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Solution

The fourth proportional to 800.98, 1,200.66 and 508.70 is: 762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.98 : 1,200.66 = 508.70 : x
  2. Step 2: Convert to fraction form
    800.98/1,200.66 = 508.70/x
  3. Step 3: Cross multiply
    800.98x = 1,200.66 × 508.70
  4. Step 4: Simplify right side
    800.98x = 610,770.08
  5. Step 5: Solve for x
    x = 610,770.08/800.98
  6. Step 6: Final answer
    x = 762.53

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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.