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Finding the Fourth Proportional to 912.64, 1,362.96 and 767.04

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Solution

The fourth proportional to 912.64, 1,362.96 and 767.04 is: 1,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.64 : 1,362.96 = 767.04 : x
  2. Step 2: Convert to fraction form
    912.64/1,362.96 = 767.04/x
  3. Step 3: Cross multiply
    912.64x = 1,362.96 × 767.04
  4. Step 4: Simplify right side
    912.64x = 1,045,444.84
  5. Step 5: Solve for x
    x = 1,045,444.84/912.64
  6. Step 6: Final answer
    x = 1,145.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.