Home / 1,431.09-2,146.65-691.02

Finding the Fourth Proportional to 1,431.09, 2,146.65 and 691.02

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Solution

The fourth proportional to 1,431.09, 2,146.65 and 691.02 is: 1,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.09 : 2,146.65 = 691.02 : x
  2. Step 2: Convert to fraction form
    1,431.09/2,146.65 = 691.02/x
  3. Step 3: Cross multiply
    1,431.09x = 2,146.65 × 691.02
  4. Step 4: Simplify right side
    1,431.09x = 1,483,378.08
  5. Step 5: Solve for x
    x = 1,483,378.08/1,431.09
  6. Step 6: Final answer
    x = 1,036.54

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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.