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Finding the Fourth Proportional to 863.15, 1,189.73 and 597.98

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Solution

The fourth proportional to 863.15, 1,189.73 and 597.98 is: 824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.15 : 1,189.73 = 597.98 : x
  2. Step 2: Convert to fraction form
    863.15/1,189.73 = 597.98/x
  3. Step 3: Cross multiply
    863.15x = 1,189.73 × 597.98
  4. Step 4: Simplify right side
    863.15x = 711,439.21
  5. Step 5: Solve for x
    x = 711,439.21/863.15
  6. Step 6: Final answer
    x = 824.24

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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.