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Finding the Fourth Proportional to 949.99, 1,424.89 and 643.81

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Solution

The fourth proportional to 949.99, 1,424.89 and 643.81 is: 965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.99 : 1,424.89 = 643.81 : x
  2. Step 2: Convert to fraction form
    949.99/1,424.89 = 643.81/x
  3. Step 3: Cross multiply
    949.99x = 1,424.89 × 643.81
  4. Step 4: Simplify right side
    949.99x = 917,358.43
  5. Step 5: Solve for x
    x = 917,358.43/949.99
  6. Step 6: Final answer
    x = 965.65

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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.