Home / 1,431.23-2,147.18-457.34

Finding the Fourth Proportional to 1,431.23, 2,147.18 and 457.34

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Solution

The fourth proportional to 1,431.23, 2,147.18 and 457.34 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.23 : 2,147.18 = 457.34 : x
  2. Step 2: Convert to fraction form
    1,431.23/2,147.18 = 457.34/x
  3. Step 3: Cross multiply
    1,431.23x = 2,147.18 × 457.34
  4. Step 4: Simplify right side
    1,431.23x = 981,978.28
  5. Step 5: Solve for x
    x = 981,978.28/1,431.23
  6. Step 6: Final answer
    x = 686.11

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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.