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Finding the Fourth Proportional to 713.92, 985.04 and 492.80

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Solution

The fourth proportional to 713.92, 985.04 and 492.80 is: 679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.92 : 985.04 = 492.80 : x
  2. Step 2: Convert to fraction form
    713.92/985.04 = 492.80/x
  3. Step 3: Cross multiply
    713.92x = 985.04 × 492.80
  4. Step 4: Simplify right side
    713.92x = 485,427.71
  5. Step 5: Solve for x
    x = 485,427.71/713.92
  6. Step 6: Final answer
    x = 679.95

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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.