Home / 1,431.13-2,147.06-405.13

Finding the Fourth Proportional to 1,431.13, 2,147.06 and 405.13

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Solution

The fourth proportional to 1,431.13, 2,147.06 and 405.13 is: 607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.13 : 2,147.06 = 405.13 : x
  2. Step 2: Convert to fraction form
    1,431.13/2,147.06 = 405.13/x
  3. Step 3: Cross multiply
    1,431.13x = 2,147.06 × 405.13
  4. Step 4: Simplify right side
    1,431.13x = 869,838.42
  5. Step 5: Solve for x
    x = 869,838.42/1,431.13
  6. Step 6: Final answer
    x = 607.80

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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.