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Finding the Fourth Proportional to 541.68, 746.28 and 425.04

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Solution

The fourth proportional to 541.68, 746.28 and 425.04 is: 585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 746.28 = 425.04 : x
  2. Step 2: Convert to fraction form
    541.68/746.28 = 425.04/x
  3. Step 3: Cross multiply
    541.68x = 746.28 × 425.04
  4. Step 4: Simplify right side
    541.68x = 317,198.85
  5. Step 5: Solve for x
    x = 317,198.85/541.68
  6. Step 6: Final answer
    x = 585.58

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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.