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Finding the Fourth Proportional to 547.90, 825.07 and 531.76

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Solution

The fourth proportional to 547.90, 825.07 and 531.76 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.90 : 825.07 = 531.76 : x
  2. Step 2: Convert to fraction form
    547.90/825.07 = 531.76/x
  3. Step 3: Cross multiply
    547.90x = 825.07 × 531.76
  4. Step 4: Simplify right side
    547.90x = 438,739.22
  5. Step 5: Solve for x
    x = 438,739.22/547.90
  6. Step 6: Final answer
    x = 800.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.