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Finding the Fourth Proportional to 912.16, 1,256.52 and 764.72

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Solution

The fourth proportional to 912.16, 1,256.52 and 764.72 is: 1,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.16 : 1,256.52 = 764.72 : x
  2. Step 2: Convert to fraction form
    912.16/1,256.52 = 764.72/x
  3. Step 3: Cross multiply
    912.16x = 1,256.52 × 764.72
  4. Step 4: Simplify right side
    912.16x = 960,885.97
  5. Step 5: Solve for x
    x = 960,885.97/912.16
  6. Step 6: Final answer
    x = 1,053.42

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1.5x scale

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.