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Finding the Fourth Proportional to 862.57, 1,188.63 and 613.45

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Solution

The fourth proportional to 862.57, 1,188.63 and 613.45 is: 845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.57 : 1,188.63 = 613.45 : x
  2. Step 2: Convert to fraction form
    862.57/1,188.63 = 613.45/x
  3. Step 3: Cross multiply
    862.57x = 1,188.63 × 613.45
  4. Step 4: Simplify right side
    862.57x = 729,165.07
  5. Step 5: Solve for x
    x = 729,165.07/862.57
  6. Step 6: Final answer
    x = 845.35

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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.