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Finding the Fourth Proportional to 577.32, 869.37 and 520.22

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Solution

The fourth proportional to 577.32, 869.37 and 520.22 is: 783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 869.37 = 520.22 : x
  2. Step 2: Convert to fraction form
    577.32/869.37 = 520.22/x
  3. Step 3: Cross multiply
    577.32x = 869.37 × 520.22
  4. Step 4: Simplify right side
    577.32x = 452,263.66
  5. Step 5: Solve for x
    x = 452,263.66/577.32
  6. Step 6: Final answer
    x = 783.38

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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.