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Finding the Fourth Proportional to 614.88, 849.02 and 418.86

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Solution

The fourth proportional to 614.88, 849.02 and 418.86 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.88 : 849.02 = 418.86 : x
  2. Step 2: Convert to fraction form
    614.88/849.02 = 418.86/x
  3. Step 3: Cross multiply
    614.88x = 849.02 × 418.86
  4. Step 4: Simplify right side
    614.88x = 355,618.42
  5. Step 5: Solve for x
    x = 355,618.42/614.88
  6. Step 6: Final answer
    x = 578.35

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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.