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Finding the Fourth Proportional to 584.56, 807.34 and 548.38

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Solution

The fourth proportional to 584.56, 807.34 and 548.38 is: 757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.56 : 807.34 = 548.38 : x
  2. Step 2: Convert to fraction form
    584.56/807.34 = 548.38/x
  3. Step 3: Cross multiply
    584.56x = 807.34 × 548.38
  4. Step 4: Simplify right side
    584.56x = 442,729.11
  5. Step 5: Solve for x
    x = 442,729.11/584.56
  6. Step 6: Final answer
    x = 757.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.