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Finding the Fourth Proportional to 614.93, 848.42 and 378.92

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Solution

The fourth proportional to 614.93, 848.42 and 378.92 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.93 : 848.42 = 378.92 : x
  2. Step 2: Convert to fraction form
    614.93/848.42 = 378.92/x
  3. Step 3: Cross multiply
    614.93x = 848.42 × 378.92
  4. Step 4: Simplify right side
    614.93x = 321,480.01
  5. Step 5: Solve for x
    x = 321,480.01/614.93
  6. Step 6: Final answer
    x = 522.79

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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.