Home / 1,431.33-2,147.25-507.43

Finding the Fourth Proportional to 1,431.33, 2,147.25 and 507.43

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Solution

The fourth proportional to 1,431.33, 2,147.25 and 507.43 is: 761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.33 : 2,147.25 = 507.43 : x
  2. Step 2: Convert to fraction form
    1,431.33/2,147.25 = 507.43/x
  3. Step 3: Cross multiply
    1,431.33x = 2,147.25 × 507.43
  4. Step 4: Simplify right side
    1,431.33x = 1,089,565.79
  5. Step 5: Solve for x
    x = 1,089,565.79/1,431.33
  6. Step 6: Final answer
    x = 761.23

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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.