Home / 1,431.19-2,146.71-457.16

Finding the Fourth Proportional to 1,431.19, 2,146.71 and 457.16

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Solution

The fourth proportional to 1,431.19, 2,146.71 and 457.16 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.19 : 2,146.71 = 457.16 : x
  2. Step 2: Convert to fraction form
    1,431.19/2,146.71 = 457.16/x
  3. Step 3: Cross multiply
    1,431.19x = 2,146.71 × 457.16
  4. Step 4: Simplify right side
    1,431.19x = 981,389.94
  5. Step 5: Solve for x
    x = 981,389.94/1,431.19
  6. Step 6: Final answer
    x = 685.72

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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.