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Finding the Fourth Proportional to 867.84, 1,299.90 and 684.66

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Solution

The fourth proportional to 867.84, 1,299.90 and 684.66 is: 1,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.84 : 1,299.90 = 684.66 : x
  2. Step 2: Convert to fraction form
    867.84/1,299.90 = 684.66/x
  3. Step 3: Cross multiply
    867.84x = 1,299.90 × 684.66
  4. Step 4: Simplify right side
    867.84x = 889,989.53
  5. Step 5: Solve for x
    x = 889,989.53/867.84
  6. Step 6: Final answer
    x = 1,025.52

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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.