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Finding the Fourth Proportional to 682.03, 942.94 and 525.18

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Solution

The fourth proportional to 682.03, 942.94 and 525.18 is: 726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 942.94 = 525.18 : x
  2. Step 2: Convert to fraction form
    682.03/942.94 = 525.18/x
  3. Step 3: Cross multiply
    682.03x = 942.94 × 525.18
  4. Step 4: Simplify right side
    682.03x = 495,211.53
  5. Step 5: Solve for x
    x = 495,211.53/682.03
  6. Step 6: Final answer
    x = 726.09

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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.