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Finding the Fourth Proportional to 614.25, 847.47 and 377.94

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Solution

The fourth proportional to 614.25, 847.47 and 377.94 is: 521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 847.47 = 377.94 : x
  2. Step 2: Convert to fraction form
    614.25/847.47 = 377.94/x
  3. Step 3: Cross multiply
    614.25x = 847.47 × 377.94
  4. Step 4: Simplify right side
    614.25x = 320,292.81
  5. Step 5: Solve for x
    x = 320,292.81/614.25
  6. Step 6: Final answer
    x = 521.44

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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.