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Finding the Fourth Proportional to 969.72, 1,455.17 and 421.92

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Solution

The fourth proportional to 969.72, 1,455.17 and 421.92 is: 633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.72 : 1,455.17 = 421.92 : x
  2. Step 2: Convert to fraction form
    969.72/1,455.17 = 421.92/x
  3. Step 3: Cross multiply
    969.72x = 1,455.17 × 421.92
  4. Step 4: Simplify right side
    969.72x = 613,963.22
  5. Step 5: Solve for x
    x = 613,963.22/969.72
  6. Step 6: Final answer
    x = 633.13

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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.