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Finding the Fourth Proportional to 739.81, 1,109.86 and 253.20

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Solution

The fourth proportional to 739.81, 1,109.86 and 253.20 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.81 : 1,109.86 = 253.20 : x
  2. Step 2: Convert to fraction form
    739.81/1,109.86 = 253.20/x
  3. Step 3: Cross multiply
    739.81x = 1,109.86 × 253.20
  4. Step 4: Simplify right side
    739.81x = 281,015.92
  5. Step 5: Solve for x
    x = 281,015.92/739.81
  6. Step 6: Final answer
    x = 379.85

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1.5x scale

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.