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Finding the Fourth Proportional to 544.78, 752.01 and 455.93

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Solution

The fourth proportional to 544.78, 752.01 and 455.93 is: 629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 752.01 = 455.93 : x
  2. Step 2: Convert to fraction form
    544.78/752.01 = 455.93/x
  3. Step 3: Cross multiply
    544.78x = 752.01 × 455.93
  4. Step 4: Simplify right side
    544.78x = 342,862.55
  5. Step 5: Solve for x
    x = 342,862.55/544.78
  6. Step 6: Final answer
    x = 629.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.