Home / 1,431.72-2,147.40-457.90

Finding the Fourth Proportional to 1,431.72, 2,147.40 and 457.90

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Solution

The fourth proportional to 1,431.72, 2,147.40 and 457.90 is: 686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.72 : 2,147.40 = 457.90 : x
  2. Step 2: Convert to fraction form
    1,431.72/2,147.40 = 457.90/x
  3. Step 3: Cross multiply
    1,431.72x = 2,147.40 × 457.90
  4. Step 4: Simplify right side
    1,431.72x = 983,294.46
  5. Step 5: Solve for x
    x = 983,294.46/1,431.72
  6. Step 6: Final answer
    x = 686.79

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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.