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Finding the Fourth Proportional to 937.96, 1,295.46 and 764.20

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Solution

The fourth proportional to 937.96, 1,295.46 and 764.20 is: 1,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.96 : 1,295.46 = 764.20 : x
  2. Step 2: Convert to fraction form
    937.96/1,295.46 = 764.20/x
  3. Step 3: Cross multiply
    937.96x = 1,295.46 × 764.20
  4. Step 4: Simplify right side
    937.96x = 989,990.53
  5. Step 5: Solve for x
    x = 989,990.53/937.96
  6. Step 6: Final answer
    x = 1,055.47

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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.