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Finding the Fourth Proportional to 577.17, 796.48 and 315.19

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Solution

The fourth proportional to 577.17, 796.48 and 315.19 is: 434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.17 : 796.48 = 315.19 : x
  2. Step 2: Convert to fraction form
    577.17/796.48 = 315.19/x
  3. Step 3: Cross multiply
    577.17x = 796.48 × 315.19
  4. Step 4: Simplify right side
    577.17x = 251,042.74
  5. Step 5: Solve for x
    x = 251,042.74/577.17
  6. Step 6: Final answer
    x = 434.95

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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.