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Finding the Fourth Proportional to 544.83, 751.35 and 420.30

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Solution

The fourth proportional to 544.83, 751.35 and 420.30 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.83 : 751.35 = 420.30 : x
  2. Step 2: Convert to fraction form
    544.83/751.35 = 420.30/x
  3. Step 3: Cross multiply
    544.83x = 751.35 × 420.30
  4. Step 4: Simplify right side
    544.83x = 315,791.16
  5. Step 5: Solve for x
    x = 315,791.16/544.83
  6. Step 6: Final answer
    x = 579.61

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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.