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Finding the Fourth Proportional to 713.68, 985.79 and 492.23

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Solution

The fourth proportional to 713.68, 985.79 and 492.23 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 985.79 = 492.23 : x
  2. Step 2: Convert to fraction form
    713.68/985.79 = 492.23/x
  3. Step 3: Cross multiply
    713.68x = 985.79 × 492.23
  4. Step 4: Simplify right side
    713.68x = 485,239.11
  5. Step 5: Solve for x
    x = 485,239.11/713.68
  6. Step 6: Final answer
    x = 679.91

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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.