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Finding the Fourth Proportional to 614.22, 845.90 and 559.54

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Solution

The fourth proportional to 614.22, 845.90 and 559.54 is: 770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.22 : 845.90 = 559.54 : x
  2. Step 2: Convert to fraction form
    614.22/845.90 = 559.54/x
  3. Step 3: Cross multiply
    614.22x = 845.90 × 559.54
  4. Step 4: Simplify right side
    614.22x = 473,314.89
  5. Step 5: Solve for x
    x = 473,314.89/614.22
  6. Step 6: Final answer
    x = 770.60

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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.