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Finding the Fourth Proportional to 614.86, 847.80 and 404.97

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Solution

The fourth proportional to 614.86, 847.80 and 404.97 is: 558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.86 : 847.80 = 404.97 : x
  2. Step 2: Convert to fraction form
    614.86/847.80 = 404.97/x
  3. Step 3: Cross multiply
    614.86x = 847.80 × 404.97
  4. Step 4: Simplify right side
    614.86x = 343,330.39
  5. Step 5: Solve for x
    x = 343,330.39/614.86
  6. Step 6: Final answer
    x = 558.39

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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.