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Finding the Fourth Proportional to 614.88, 848.95 and 490.25

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Solution

The fourth proportional to 614.88, 848.95 and 490.25 is: 676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.88 : 848.95 = 490.25 : x
  2. Step 2: Convert to fraction form
    614.88/848.95 = 490.25/x
  3. Step 3: Cross multiply
    614.88x = 848.95 × 490.25
  4. Step 4: Simplify right side
    614.88x = 416,198.63
  5. Step 5: Solve for x
    x = 416,198.63/614.88
  6. Step 6: Final answer
    x = 676.88

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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.