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Finding the Fourth Proportional to 542.25, 812.46 and 380.07

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Solution

The fourth proportional to 542.25, 812.46 and 380.07 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 812.46 = 380.07 : x
  2. Step 2: Convert to fraction form
    542.25/812.46 = 380.07/x
  3. Step 3: Cross multiply
    542.25x = 812.46 × 380.07
  4. Step 4: Simplify right side
    542.25x = 308,791.67
  5. Step 5: Solve for x
    x = 308,791.67/542.25
  6. Step 6: Final answer
    x = 569.46

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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.