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Finding the Fourth Proportional to 577.08, 794.97 and 477.08

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Solution

The fourth proportional to 577.08, 794.97 and 477.08 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 794.97 = 477.08 : x
  2. Step 2: Convert to fraction form
    577.08/794.97 = 477.08/x
  3. Step 3: Cross multiply
    577.08x = 794.97 × 477.08
  4. Step 4: Simplify right side
    577.08x = 379,260.31
  5. Step 5: Solve for x
    x = 379,260.31/577.08
  6. Step 6: Final answer
    x = 657.21

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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.