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Finding the Fourth Proportional to 614.80, 848.13 and 418.30

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Solution

The fourth proportional to 614.80, 848.13 and 418.30 is: 577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.80 : 848.13 = 418.30 : x
  2. Step 2: Convert to fraction form
    614.80/848.13 = 418.30/x
  3. Step 3: Cross multiply
    614.80x = 848.13 × 418.30
  4. Step 4: Simplify right side
    614.80x = 354,772.78
  5. Step 5: Solve for x
    x = 354,772.78/614.80
  6. Step 6: Final answer
    x = 577.05

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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.