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Finding the Fourth Proportional to 577.51, 796.89 and 341.59

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Solution

The fourth proportional to 577.51, 796.89 and 341.59 is: 471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.51 : 796.89 = 341.59 : x
  2. Step 2: Convert to fraction form
    577.51/796.89 = 341.59/x
  3. Step 3: Cross multiply
    577.51x = 796.89 × 341.59
  4. Step 4: Simplify right side
    577.51x = 272,209.66
  5. Step 5: Solve for x
    x = 272,209.66/577.51
  6. Step 6: Final answer
    x = 471.35

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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.