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Finding the Fourth Proportional to 577.78, 794.64 and 504.16

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Solution

The fourth proportional to 577.78, 794.64 and 504.16 is: 693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.78 : 794.64 = 504.16 : x
  2. Step 2: Convert to fraction form
    577.78/794.64 = 504.16/x
  3. Step 3: Cross multiply
    577.78x = 794.64 × 504.16
  4. Step 4: Simplify right side
    577.78x = 400,625.70
  5. Step 5: Solve for x
    x = 400,625.70/577.78
  6. Step 6: Final answer
    x = 693.39

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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.