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Finding the Fourth Proportional to 577.86, 865.77 and 556.53

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Solution

The fourth proportional to 577.86, 865.77 and 556.53 is: 833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.86 : 865.77 = 556.53 : x
  2. Step 2: Convert to fraction form
    577.86/865.77 = 556.53/x
  3. Step 3: Cross multiply
    577.86x = 865.77 × 556.53
  4. Step 4: Simplify right side
    577.86x = 481,826.98
  5. Step 5: Solve for x
    x = 481,826.98/577.86
  6. Step 6: Final answer
    x = 833.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.