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Finding the Fourth Proportional to 610.51, 914.38 and 428.71

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Solution

The fourth proportional to 610.51, 914.38 and 428.71 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.51 : 914.38 = 428.71 : x
  2. Step 2: Convert to fraction form
    610.51/914.38 = 428.71/x
  3. Step 3: Cross multiply
    610.51x = 914.38 × 428.71
  4. Step 4: Simplify right side
    610.51x = 392,003.85
  5. Step 5: Solve for x
    x = 392,003.85/610.51
  6. Step 6: Final answer
    x = 642.09

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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.