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Finding the Fourth Proportional to 960.23, 1,439.49 and 569.27

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Solution

The fourth proportional to 960.23, 1,439.49 and 569.27 is: 853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.23 : 1,439.49 = 569.27 : x
  2. Step 2: Convert to fraction form
    960.23/1,439.49 = 569.27/x
  3. Step 3: Cross multiply
    960.23x = 1,439.49 × 569.27
  4. Step 4: Simplify right side
    960.23x = 819,451.27
  5. Step 5: Solve for x
    x = 819,451.27/960.23
  6. Step 6: Final answer
    x = 853.40

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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.