Home / 1,431.60-2,147.93-782.79

Finding the Fourth Proportional to 1,431.60, 2,147.93 and 782.79

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Solution

The fourth proportional to 1,431.60, 2,147.93 and 782.79 is: 1,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.60 : 2,147.93 = 782.79 : x
  2. Step 2: Convert to fraction form
    1,431.60/2,147.93 = 782.79/x
  3. Step 3: Cross multiply
    1,431.60x = 2,147.93 × 782.79
  4. Step 4: Simplify right side
    1,431.60x = 1,681,378.12
  5. Step 5: Solve for x
    x = 1,681,378.12/1,431.60
  6. Step 6: Final answer
    x = 1,174.47

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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.