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Finding the Fourth Proportional to 577.71, 797.13 and 490.23

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Solution

The fourth proportional to 577.71, 797.13 and 490.23 is: 676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.71 : 797.13 = 490.23 : x
  2. Step 2: Convert to fraction form
    577.71/797.13 = 490.23/x
  3. Step 3: Cross multiply
    577.71x = 797.13 × 490.23
  4. Step 4: Simplify right side
    577.71x = 390,777.04
  5. Step 5: Solve for x
    x = 390,777.04/577.71
  6. Step 6: Final answer
    x = 676.42

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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.