Home / 1,507.38-2,261.46-582.69

Finding the Fourth Proportional to 1,507.38, 2,261.46 and 582.69

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Solution

The fourth proportional to 1,507.38, 2,261.46 and 582.69 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.38 : 2,261.46 = 582.69 : x
  2. Step 2: Convert to fraction form
    1,507.38/2,261.46 = 582.69/x
  3. Step 3: Cross multiply
    1,507.38x = 2,261.46 × 582.69
  4. Step 4: Simplify right side
    1,507.38x = 1,317,730.13
  5. Step 5: Solve for x
    x = 1,317,730.13/1,507.38
  6. Step 6: Final answer
    x = 874.19

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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.