Home / 1,431.42-2,147.14-457.58

Finding the Fourth Proportional to 1,431.42, 2,147.14 and 457.58

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Solution

The fourth proportional to 1,431.42, 2,147.14 and 457.58 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.42 : 2,147.14 = 457.58 : x
  2. Step 2: Convert to fraction form
    1,431.42/2,147.14 = 457.58/x
  3. Step 3: Cross multiply
    1,431.42x = 2,147.14 × 457.58
  4. Step 4: Simplify right side
    1,431.42x = 982,488.32
  5. Step 5: Solve for x
    x = 982,488.32/1,431.42
  6. Step 6: Final answer
    x = 686.37

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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.