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Finding the Fourth Proportional to 682.98, 942.96 and 525.32

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Solution

The fourth proportional to 682.98, 942.96 and 525.32 is: 725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 942.96 = 525.32 : x
  2. Step 2: Convert to fraction form
    682.98/942.96 = 525.32/x
  3. Step 3: Cross multiply
    682.98x = 942.96 × 525.32
  4. Step 4: Simplify right side
    682.98x = 495,352.60
  5. Step 5: Solve for x
    x = 495,352.60/682.98
  6. Step 6: Final answer
    x = 725.28

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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.