Home / 1,431.16-2,147.30-457.40

Finding the Fourth Proportional to 1,431.16, 2,147.30 and 457.40

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Solution

The fourth proportional to 1,431.16, 2,147.30 and 457.40 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.16 : 2,147.30 = 457.40 : x
  2. Step 2: Convert to fraction form
    1,431.16/2,147.30 = 457.40/x
  3. Step 3: Cross multiply
    1,431.16x = 2,147.30 × 457.40
  4. Step 4: Simplify right side
    1,431.16x = 982,175.02
  5. Step 5: Solve for x
    x = 982,175.02/1,431.16
  6. Step 6: Final answer
    x = 686.28

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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.