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Finding the Fourth Proportional to 614.61, 848.34 and 378.63

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Solution

The fourth proportional to 614.61, 848.34 and 378.63 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.61 : 848.34 = 378.63 : x
  2. Step 2: Convert to fraction form
    614.61/848.34 = 378.63/x
  3. Step 3: Cross multiply
    614.61x = 848.34 × 378.63
  4. Step 4: Simplify right side
    614.61x = 321,206.97
  5. Step 5: Solve for x
    x = 321,206.97/614.61
  6. Step 6: Final answer
    x = 522.62

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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.