Home / 1,507.38-2,260.46-582.42

Finding the Fourth Proportional to 1,507.38, 2,260.46 and 582.42

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Solution

The fourth proportional to 1,507.38, 2,260.46 and 582.42 is: 873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.38 : 2,260.46 = 582.42 : x
  2. Step 2: Convert to fraction form
    1,507.38/2,260.46 = 582.42/x
  3. Step 3: Cross multiply
    1,507.38x = 2,260.46 × 582.42
  4. Step 4: Simplify right side
    1,507.38x = 1,316,537.11
  5. Step 5: Solve for x
    x = 1,316,537.11/1,507.38
  6. Step 6: Final answer
    x = 873.39

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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.