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Finding the Fourth Proportional to 577.49, 797.13 and 390.87

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Solution

The fourth proportional to 577.49, 797.13 and 390.87 is: 539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.49 : 797.13 = 390.87 : x
  2. Step 2: Convert to fraction form
    577.49/797.13 = 390.87/x
  3. Step 3: Cross multiply
    577.49x = 797.13 × 390.87
  4. Step 4: Simplify right side
    577.49x = 311,574.20
  5. Step 5: Solve for x
    x = 311,574.20/577.49
  6. Step 6: Final answer
    x = 539.54

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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.