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Finding the Fourth Proportional to 577.23, 795.19 and 477.23

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Solution

The fourth proportional to 577.23, 795.19 and 477.23 is: 657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.23 : 795.19 = 477.23 : x
  2. Step 2: Convert to fraction form
    577.23/795.19 = 477.23/x
  3. Step 3: Cross multiply
    577.23x = 795.19 × 477.23
  4. Step 4: Simplify right side
    577.23x = 379,488.52
  5. Step 5: Solve for x
    x = 379,488.52/577.23
  6. Step 6: Final answer
    x = 657.43

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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.