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Finding the Fourth Proportional to 548.94, 816.35 and 531.65

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Solution

The fourth proportional to 548.94, 816.35 and 531.65 is: 790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.94 : 816.35 = 531.65 : x
  2. Step 2: Convert to fraction form
    548.94/816.35 = 531.65/x
  3. Step 3: Cross multiply
    548.94x = 816.35 × 531.65
  4. Step 4: Simplify right side
    548.94x = 434,009.72
  5. Step 5: Solve for x
    x = 434,009.72/548.94
  6. Step 6: Final answer
    x = 790.63

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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.