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Finding the Fourth Proportional to 614.41, 848.27 and 404.96

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Solution

The fourth proportional to 614.41, 848.27 and 404.96 is: 559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.41 : 848.27 = 404.96 : x
  2. Step 2: Convert to fraction form
    614.41/848.27 = 404.96/x
  3. Step 3: Cross multiply
    614.41x = 848.27 × 404.96
  4. Step 4: Simplify right side
    614.41x = 343,515.42
  5. Step 5: Solve for x
    x = 343,515.42/614.41
  6. Step 6: Final answer
    x = 559.10

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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.