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Finding the Fourth Proportional to 1,428.65, 2,142.94 and 659.15

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Solution

The fourth proportional to 1,428.65, 2,142.94 and 659.15 is: 988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.65 : 2,142.94 = 659.15 : x
  2. Step 2: Convert to fraction form
    1,428.65/2,142.94 = 659.15/x
  3. Step 3: Cross multiply
    1,428.65x = 2,142.94 × 659.15
  4. Step 4: Simplify right side
    1,428.65x = 1,412,504.89
  5. Step 5: Solve for x
    x = 1,412,504.89/1,428.65
  6. Step 6: Final answer
    x = 988.70

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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.