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Finding the Fourth Proportional to 969.34, 1,454.24 and 320.05

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Solution

The fourth proportional to 969.34, 1,454.24 and 320.05 is: 480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.34 : 1,454.24 = 320.05 : x
  2. Step 2: Convert to fraction form
    969.34/1,454.24 = 320.05/x
  3. Step 3: Cross multiply
    969.34x = 1,454.24 × 320.05
  4. Step 4: Simplify right side
    969.34x = 465,429.51
  5. Step 5: Solve for x
    x = 465,429.51/969.34
  6. Step 6: Final answer
    x = 480.15

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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.