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Finding the Fourth Proportional to 577.17, 864.54 and 496.98

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Solution

The fourth proportional to 577.17, 864.54 and 496.98 is: 744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.17 : 864.54 = 496.98 : x
  2. Step 2: Convert to fraction form
    577.17/864.54 = 496.98/x
  3. Step 3: Cross multiply
    577.17x = 864.54 × 496.98
  4. Step 4: Simplify right side
    577.17x = 429,659.09
  5. Step 5: Solve for x
    x = 429,659.09/577.17
  6. Step 6: Final answer
    x = 744.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.