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Finding the Fourth Proportional to 969.86, 1,452.90 and 645.32

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Solution

The fourth proportional to 969.86, 1,452.90 and 645.32 is: 966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.86 : 1,452.90 = 645.32 : x
  2. Step 2: Convert to fraction form
    969.86/1,452.90 = 645.32/x
  3. Step 3: Cross multiply
    969.86x = 1,452.90 × 645.32
  4. Step 4: Simplify right side
    969.86x = 937,585.43
  5. Step 5: Solve for x
    x = 937,585.43/969.86
  6. Step 6: Final answer
    x = 966.72

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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.