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Finding the Fourth Proportional to 577.05, 779.63 and 577.05

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Solution

The fourth proportional to 577.05, 779.63 and 577.05 is: 779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.05 : 779.63 = 577.05 : x
  2. Step 2: Convert to fraction form
    577.05/779.63 = 577.05/x
  3. Step 3: Cross multiply
    577.05x = 779.63 × 577.05
  4. Step 4: Simplify right side
    577.05x = 449,882.61
  5. Step 5: Solve for x
    x = 449,882.61/577.05
  6. Step 6: Final answer
    x = 779.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.