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Finding the Fourth Proportional to 969.52, 1,454.40 and 392.26

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Solution

The fourth proportional to 969.52, 1,454.40 and 392.26 is: 588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,454.40 = 392.26 : x
  2. Step 2: Convert to fraction form
    969.52/1,454.40 = 392.26/x
  3. Step 3: Cross multiply
    969.52x = 1,454.40 × 392.26
  4. Step 4: Simplify right side
    969.52x = 570,502.94
  5. Step 5: Solve for x
    x = 570,502.94/969.52
  6. Step 6: Final answer
    x = 588.44

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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.