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Finding the Fourth Proportional to 969.16, 1,452.46 and 455.08

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Solution

The fourth proportional to 969.16, 1,452.46 and 455.08 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.16 : 1,452.46 = 455.08 : x
  2. Step 2: Convert to fraction form
    969.16/1,452.46 = 455.08/x
  3. Step 3: Cross multiply
    969.16x = 1,452.46 × 455.08
  4. Step 4: Simplify right side
    969.16x = 660,985.50
  5. Step 5: Solve for x
    x = 660,985.50/969.16
  6. Step 6: Final answer
    x = 682.02

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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.