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Finding the Fourth Proportional to 1,509.38, 2,268.39 and 740.42

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Solution

The fourth proportional to 1,509.38, 2,268.39 and 740.42 is: 1,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.38 : 2,268.39 = 740.42 : x
  2. Step 2: Convert to fraction form
    1,509.38/2,268.39 = 740.42/x
  3. Step 3: Cross multiply
    1,509.38x = 2,268.39 × 740.42
  4. Step 4: Simplify right side
    1,509.38x = 1,679,561.32
  5. Step 5: Solve for x
    x = 1,679,561.32/1,509.38
  6. Step 6: Final answer
    x = 1,112.75

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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.