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Finding the Fourth Proportional to 577.49, 797.17 and 390.89

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Solution

The fourth proportional to 577.49, 797.17 and 390.89 is: 539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.49 : 797.17 = 390.89 : x
  2. Step 2: Convert to fraction form
    577.49/797.17 = 390.89/x
  3. Step 3: Cross multiply
    577.49x = 797.17 × 390.89
  4. Step 4: Simplify right side
    577.49x = 311,605.78
  5. Step 5: Solve for x
    x = 311,605.78/577.49
  6. Step 6: Final answer
    x = 539.59

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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.