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Finding the Fourth Proportional to 701.80, 968.87 and 492.62

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Solution

The fourth proportional to 701.80, 968.87 and 492.62 is: 680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.80 : 968.87 = 492.62 : x
  2. Step 2: Convert to fraction form
    701.80/968.87 = 492.62/x
  3. Step 3: Cross multiply
    701.80x = 968.87 × 492.62
  4. Step 4: Simplify right side
    701.80x = 477,281.13
  5. Step 5: Solve for x
    x = 477,281.13/701.80
  6. Step 6: Final answer
    x = 680.08

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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.