Home / 1,431.14-2,147.31-457.52

Finding the Fourth Proportional to 1,431.14, 2,147.31 and 457.52

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Solution

The fourth proportional to 1,431.14, 2,147.31 and 457.52 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.14 : 2,147.31 = 457.52 : x
  2. Step 2: Convert to fraction form
    1,431.14/2,147.31 = 457.52/x
  3. Step 3: Cross multiply
    1,431.14x = 2,147.31 × 457.52
  4. Step 4: Simplify right side
    1,431.14x = 982,426.53
  5. Step 5: Solve for x
    x = 982,426.53/1,431.14
  6. Step 6: Final answer
    x = 686.47

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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.