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Finding the Fourth Proportional to 862.23, 1,188.23 and 684.64

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Solution

The fourth proportional to 862.23, 1,188.23 and 684.64 is: 943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.23 : 1,188.23 = 684.64 : x
  2. Step 2: Convert to fraction form
    862.23/1,188.23 = 684.64/x
  3. Step 3: Cross multiply
    862.23x = 1,188.23 × 684.64
  4. Step 4: Simplify right side
    862.23x = 813,509.79
  5. Step 5: Solve for x
    x = 813,509.79/862.23
  6. Step 6: Final answer
    x = 943.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.