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Finding the Fourth Proportional to 577.78, 870.67 and 523.11

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Solution

The fourth proportional to 577.78, 870.67 and 523.11 is: 788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.78 : 870.67 = 523.11 : x
  2. Step 2: Convert to fraction form
    577.78/870.67 = 523.11/x
  3. Step 3: Cross multiply
    577.78x = 870.67 × 523.11
  4. Step 4: Simplify right side
    577.78x = 455,456.68
  5. Step 5: Solve for x
    x = 455,456.68/577.78
  6. Step 6: Final answer
    x = 788.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.