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Finding the Fourth Proportional to 548.51, 815.71 and 531.21

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Solution

The fourth proportional to 548.51, 815.71 and 531.21 is: 789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.51 : 815.71 = 531.21 : x
  2. Step 2: Convert to fraction form
    548.51/815.71 = 531.21/x
  3. Step 3: Cross multiply
    548.51x = 815.71 × 531.21
  4. Step 4: Simplify right side
    548.51x = 433,312.44
  5. Step 5: Solve for x
    x = 433,312.44/548.51
  6. Step 6: Final answer
    x = 789.98

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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.