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Finding the Fourth Proportional to 649.11, 973.40 and 319.81

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Solution

The fourth proportional to 649.11, 973.40 and 319.81 is: 479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 973.40 = 319.81 : x
  2. Step 2: Convert to fraction form
    649.11/973.40 = 319.81/x
  3. Step 3: Cross multiply
    649.11x = 973.40 × 319.81
  4. Step 4: Simplify right side
    649.11x = 311,305.36
  5. Step 5: Solve for x
    x = 311,305.36/649.11
  6. Step 6: Final answer
    x = 479.59

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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.