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Finding the Fourth Proportional to 577.94, 862.72 and 535.12

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Solution

The fourth proportional to 577.94, 862.72 and 535.12 is: 798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.94 : 862.72 = 535.12 : x
  2. Step 2: Convert to fraction form
    577.94/862.72 = 535.12/x
  3. Step 3: Cross multiply
    577.94x = 862.72 × 535.12
  4. Step 4: Simplify right side
    577.94x = 461,658.73
  5. Step 5: Solve for x
    x = 461,658.73/577.94
  6. Step 6: Final answer
    x = 798.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.