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Finding the Fourth Proportional to 614.20, 847.66 and 595.06

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Solution

The fourth proportional to 614.20, 847.66 and 595.06 is: 821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 847.66 = 595.06 : x
  2. Step 2: Convert to fraction form
    614.20/847.66 = 595.06/x
  3. Step 3: Cross multiply
    614.20x = 847.66 × 595.06
  4. Step 4: Simplify right side
    614.20x = 504,408.56
  5. Step 5: Solve for x
    x = 504,408.56/614.20
  6. Step 6: Final answer
    x = 821.24

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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.