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Finding the Fourth Proportional to 649.80, 974.88 and 513.30

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Solution

The fourth proportional to 649.80, 974.88 and 513.30 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 974.88 = 513.30 : x
  2. Step 2: Convert to fraction form
    649.80/974.88 = 513.30/x
  3. Step 3: Cross multiply
    649.80x = 974.88 × 513.30
  4. Step 4: Simplify right side
    649.80x = 500,405.90
  5. Step 5: Solve for x
    x = 500,405.90/649.80
  6. Step 6: Final answer
    x = 770.09

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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.