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Finding the Fourth Proportional to 649.87, 973.89 and 487.45

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Solution

The fourth proportional to 649.87, 973.89 and 487.45 is: 730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.87 : 973.89 = 487.45 : x
  2. Step 2: Convert to fraction form
    649.87/973.89 = 487.45/x
  3. Step 3: Cross multiply
    649.87x = 973.89 × 487.45
  4. Step 4: Simplify right side
    649.87x = 474,722.68
  5. Step 5: Solve for x
    x = 474,722.68/649.87
  6. Step 6: Final answer
    x = 730.49

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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.