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Finding the Fourth Proportional to 611.37, 843.30 and 463.68

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Solution

The fourth proportional to 611.37, 843.30 and 463.68 is: 639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.37 : 843.30 = 463.68 : x
  2. Step 2: Convert to fraction form
    611.37/843.30 = 463.68/x
  3. Step 3: Cross multiply
    611.37x = 843.30 × 463.68
  4. Step 4: Simplify right side
    611.37x = 391,021.34
  5. Step 5: Solve for x
    x = 391,021.34/611.37
  6. Step 6: Final answer
    x = 639.58

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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.