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Finding the Fourth Proportional to 969.96, 1,454.88 and 645.52

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Solution

The fourth proportional to 969.96, 1,454.88 and 645.52 is: 968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.96 : 1,454.88 = 645.52 : x
  2. Step 2: Convert to fraction form
    969.96/1,454.88 = 645.52/x
  3. Step 3: Cross multiply
    969.96x = 1,454.88 × 645.52
  4. Step 4: Simplify right side
    969.96x = 939,154.14
  5. Step 5: Solve for x
    x = 939,154.14/969.96
  6. Step 6: Final answer
    x = 968.24

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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.