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Finding the Fourth Proportional to 610.19, 914.87 and 285.38

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Solution

The fourth proportional to 610.19, 914.87 and 285.38 is: 427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.19 : 914.87 = 285.38 : x
  2. Step 2: Convert to fraction form
    610.19/914.87 = 285.38/x
  3. Step 3: Cross multiply
    610.19x = 914.87 × 285.38
  4. Step 4: Simplify right side
    610.19x = 261,088.60
  5. Step 5: Solve for x
    x = 261,088.60/610.19
  6. Step 6: Final answer
    x = 427.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.