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Finding the Fourth Proportional to 577.73, 870.09 and 525.49

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Solution

The fourth proportional to 577.73, 870.09 and 525.49 is: 791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.73 : 870.09 = 525.49 : x
  2. Step 2: Convert to fraction form
    577.73/870.09 = 525.49/x
  3. Step 3: Cross multiply
    577.73x = 870.09 × 525.49
  4. Step 4: Simplify right side
    577.73x = 457,222.40
  5. Step 5: Solve for x
    x = 457,222.40/577.73
  6. Step 6: Final answer
    x = 791.41

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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.