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Finding the Fourth Proportional to 711.96, 982.08 and 462.90

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Solution

The fourth proportional to 711.96, 982.08 and 462.90 is: 638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.96 : 982.08 = 462.90 : x
  2. Step 2: Convert to fraction form
    711.96/982.08 = 462.90/x
  3. Step 3: Cross multiply
    711.96x = 982.08 × 462.90
  4. Step 4: Simplify right side
    711.96x = 454,604.83
  5. Step 5: Solve for x
    x = 454,604.83/711.96
  6. Step 6: Final answer
    x = 638.53

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Double scale
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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.