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Finding the Fourth Proportional to 713.23, 982.90 and 491.78

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Solution

The fourth proportional to 713.23, 982.90 and 491.78 is: 677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.23 : 982.90 = 491.78 : x
  2. Step 2: Convert to fraction form
    713.23/982.90 = 491.78/x
  3. Step 3: Cross multiply
    713.23x = 982.90 × 491.78
  4. Step 4: Simplify right side
    713.23x = 483,370.56
  5. Step 5: Solve for x
    x = 483,370.56/713.23
  6. Step 6: Final answer
    x = 677.72

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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.