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Finding the Fourth Proportional to 577.37, 864.68 and 548.66

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Solution

The fourth proportional to 577.37, 864.68 and 548.66 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.37 : 864.68 = 548.66 : x
  2. Step 2: Convert to fraction form
    577.37/864.68 = 548.66/x
  3. Step 3: Cross multiply
    577.37x = 864.68 × 548.66
  4. Step 4: Simplify right side
    577.37x = 474,408.26
  5. Step 5: Solve for x
    x = 474,408.26/577.37
  6. Step 6: Final answer
    x = 821.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.