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Finding the Fourth Proportional to 1,429.86, 2,143.94 and 689.01

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Solution

The fourth proportional to 1,429.86, 2,143.94 and 689.01 is: 1,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.86 : 2,143.94 = 689.01 : x
  2. Step 2: Convert to fraction form
    1,429.86/2,143.94 = 689.01/x
  3. Step 3: Cross multiply
    1,429.86x = 2,143.94 × 689.01
  4. Step 4: Simplify right side
    1,429.86x = 1,477,202.70
  5. Step 5: Solve for x
    x = 1,477,202.70/1,429.86
  6. Step 6: Final answer
    x = 1,033.11

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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.