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Finding the Fourth Proportional to 956.99, 1,438.34 and 650.81

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Solution

The fourth proportional to 956.99, 1,438.34 and 650.81 is: 978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.99 : 1,438.34 = 650.81 : x
  2. Step 2: Convert to fraction form
    956.99/1,438.34 = 650.81/x
  3. Step 3: Cross multiply
    956.99x = 1,438.34 × 650.81
  4. Step 4: Simplify right side
    956.99x = 936,086.40
  5. Step 5: Solve for x
    x = 936,086.40/956.99
  6. Step 6: Final answer
    x = 978.15

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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.