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Finding the Fourth Proportional to 610.92, 914.70 and 416.28

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Solution

The fourth proportional to 610.92, 914.70 and 416.28 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.92 : 914.70 = 416.28 : x
  2. Step 2: Convert to fraction form
    610.92/914.70 = 416.28/x
  3. Step 3: Cross multiply
    610.92x = 914.70 × 416.28
  4. Step 4: Simplify right side
    610.92x = 380,771.32
  5. Step 5: Solve for x
    x = 380,771.32/610.92
  6. Step 6: Final answer
    x = 623.28

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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.