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Finding the Fourth Proportional to 577.04, 869.60 and 519.33

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Solution

The fourth proportional to 577.04, 869.60 and 519.33 is: 782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 869.60 = 519.33 : x
  2. Step 2: Convert to fraction form
    577.04/869.60 = 519.33/x
  3. Step 3: Cross multiply
    577.04x = 869.60 × 519.33
  4. Step 4: Simplify right side
    577.04x = 451,606.77
  5. Step 5: Solve for x
    x = 451,606.77/577.04
  6. Step 6: Final answer
    x = 782.63

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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.