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Finding the Fourth Proportional to 863.55, 1,295.69 and 690.03

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Solution

The fourth proportional to 863.55, 1,295.69 and 690.03 is: 1,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.55 : 1,295.69 = 690.03 : x
  2. Step 2: Convert to fraction form
    863.55/1,295.69 = 690.03/x
  3. Step 3: Cross multiply
    863.55x = 1,295.69 × 690.03
  4. Step 4: Simplify right side
    863.55x = 894,061.52
  5. Step 5: Solve for x
    x = 894,061.52/863.55
  6. Step 6: Final answer
    x = 1,035.33

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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.