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Finding the Fourth Proportional to 713.62, 985.20 and 492.90

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Solution

The fourth proportional to 713.62, 985.20 and 492.90 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.62 : 985.20 = 492.90 : x
  2. Step 2: Convert to fraction form
    713.62/985.20 = 492.90/x
  3. Step 3: Cross multiply
    713.62x = 985.20 × 492.90
  4. Step 4: Simplify right side
    713.62x = 485,605.08
  5. Step 5: Solve for x
    x = 485,605.08/713.62
  6. Step 6: Final answer
    x = 680.48

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1.5x scale

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.