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Finding the Fourth Proportional to 577.50, 797.03 and 344.63

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Solution

The fourth proportional to 577.50, 797.03 and 344.63 is: 475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.50 : 797.03 = 344.63 : x
  2. Step 2: Convert to fraction form
    577.50/797.03 = 344.63/x
  3. Step 3: Cross multiply
    577.50x = 797.03 × 344.63
  4. Step 4: Simplify right side
    577.50x = 274,674.74
  5. Step 5: Solve for x
    x = 274,674.74/577.50
  6. Step 6: Final answer
    x = 475.63

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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.