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Finding the Fourth Proportional to 905.68, 1,248.44 and 696.72

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Solution

The fourth proportional to 905.68, 1,248.44 and 696.72 is: 960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.68 : 1,248.44 = 696.72 : x
  2. Step 2: Convert to fraction form
    905.68/1,248.44 = 696.72/x
  3. Step 3: Cross multiply
    905.68x = 1,248.44 × 696.72
  4. Step 4: Simplify right side
    905.68x = 869,813.12
  5. Step 5: Solve for x
    x = 869,813.12/905.68
  6. Step 6: Final answer
    x = 960.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.