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Finding the Fourth Proportional to 1,233.32, 1,847.05 and 684.14

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Solution

The fourth proportional to 1,233.32, 1,847.05 and 684.14 is: 1,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.32 : 1,847.05 = 684.14 : x
  2. Step 2: Convert to fraction form
    1,233.32/1,847.05 = 684.14/x
  3. Step 3: Cross multiply
    1,233.32x = 1,847.05 × 684.14
  4. Step 4: Simplify right side
    1,233.32x = 1,263,643.69
  5. Step 5: Solve for x
    x = 1,263,643.69/1,233.32
  6. Step 6: Final answer
    x = 1,024.58

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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.