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Finding the Fourth Proportional to 577.23, 794.30 and 552.66

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Solution

The fourth proportional to 577.23, 794.30 and 552.66 is: 760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.23 : 794.30 = 552.66 : x
  2. Step 2: Convert to fraction form
    577.23/794.30 = 552.66/x
  3. Step 3: Cross multiply
    577.23x = 794.30 × 552.66
  4. Step 4: Simplify right side
    577.23x = 438,977.84
  5. Step 5: Solve for x
    x = 438,977.84/577.23
  6. Step 6: Final answer
    x = 760.49

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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.