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Finding the Fourth Proportional to 1,431.64, 2,145.97 and 814.01

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Solution

The fourth proportional to 1,431.64, 2,145.97 and 814.01 is: 1,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.64 : 2,145.97 = 814.01 : x
  2. Step 2: Convert to fraction form
    1,431.64/2,145.97 = 814.01/x
  3. Step 3: Cross multiply
    1,431.64x = 2,145.97 × 814.01
  4. Step 4: Simplify right side
    1,431.64x = 1,746,839.00
  5. Step 5: Solve for x
    x = 1,746,839.00/1,431.64
  6. Step 6: Final answer
    x = 1,220.17

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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.