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Finding the Fourth Proportional to 611.50, 843.67 and 345.91

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Solution

The fourth proportional to 611.50, 843.67 and 345.91 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.50 : 843.67 = 345.91 : x
  2. Step 2: Convert to fraction form
    611.50/843.67 = 345.91/x
  3. Step 3: Cross multiply
    611.50x = 843.67 × 345.91
  4. Step 4: Simplify right side
    611.50x = 291,835.13
  5. Step 5: Solve for x
    x = 291,835.13/611.50
  6. Step 6: Final answer
    x = 477.24

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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.