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Finding the Fourth Proportional to 611.84, 843.70 and 462.81

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Solution

The fourth proportional to 611.84, 843.70 and 462.81 is: 638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.84 : 843.70 = 462.81 : x
  2. Step 2: Convert to fraction form
    611.84/843.70 = 462.81/x
  3. Step 3: Cross multiply
    611.84x = 843.70 × 462.81
  4. Step 4: Simplify right side
    611.84x = 390,472.80
  5. Step 5: Solve for x
    x = 390,472.80/611.84
  6. Step 6: Final answer
    x = 638.19

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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.