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Finding the Fourth Proportional to 610.08, 914.48 and 285.18

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Solution

The fourth proportional to 610.08, 914.48 and 285.18 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.08 : 914.48 = 285.18 : x
  2. Step 2: Convert to fraction form
    610.08/914.48 = 285.18/x
  3. Step 3: Cross multiply
    610.08x = 914.48 × 285.18
  4. Step 4: Simplify right side
    610.08x = 260,789.98
  5. Step 5: Solve for x
    x = 260,789.98/610.08
  6. Step 6: Final answer
    x = 427.47

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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.