Home / 1,507.23-2,261.19-582.80

Finding the Fourth Proportional to 1,507.23, 2,261.19 and 582.80

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Solution

The fourth proportional to 1,507.23, 2,261.19 and 582.80 is: 874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.23 : 2,261.19 = 582.80 : x
  2. Step 2: Convert to fraction form
    1,507.23/2,261.19 = 582.80/x
  3. Step 3: Cross multiply
    1,507.23x = 2,261.19 × 582.80
  4. Step 4: Simplify right side
    1,507.23x = 1,317,807.31
  5. Step 5: Solve for x
    x = 1,317,807.31/1,507.23
  6. Step 6: Final answer
    x = 874.32

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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.