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Finding the Fourth Proportional to 577.64, 794.73 and 504.13

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Solution

The fourth proportional to 577.64, 794.73 and 504.13 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.64 : 794.73 = 504.13 : x
  2. Step 2: Convert to fraction form
    577.64/794.73 = 504.13/x
  3. Step 3: Cross multiply
    577.64x = 794.73 × 504.13
  4. Step 4: Simplify right side
    577.64x = 400,647.23
  5. Step 5: Solve for x
    x = 400,647.23/577.64
  6. Step 6: Final answer
    x = 693.59

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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.