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Finding the Fourth Proportional to 544.12, 812.73 and 512.53

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Solution

The fourth proportional to 544.12, 812.73 and 512.53 is: 765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.12 : 812.73 = 512.53 : x
  2. Step 2: Convert to fraction form
    544.12/812.73 = 512.53/x
  3. Step 3: Cross multiply
    544.12x = 812.73 × 512.53
  4. Step 4: Simplify right side
    544.12x = 416,548.40
  5. Step 5: Solve for x
    x = 416,548.40/544.12
  6. Step 6: Final answer
    x = 765.55

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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.