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Finding the Fourth Proportional to 2,333.81, 3,500.21 and 689.99

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Solution

The fourth proportional to 2,333.81, 3,500.21 and 689.99 is: 1,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.81 : 3,500.21 = 689.99 : x
  2. Step 2: Convert to fraction form
    2,333.81/3,500.21 = 689.99/x
  3. Step 3: Cross multiply
    2,333.81x = 3,500.21 × 689.99
  4. Step 4: Simplify right side
    2,333.81x = 2,415,088.95
  5. Step 5: Solve for x
    x = 2,415,088.95/2,333.81
  6. Step 6: Final answer
    x = 1,034.83

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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.