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Finding the Fourth Proportional to 544.70, 751.47 and 420.23

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Solution

The fourth proportional to 544.70, 751.47 and 420.23 is: 579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.70 : 751.47 = 420.23 : x
  2. Step 2: Convert to fraction form
    544.70/751.47 = 420.23/x
  3. Step 3: Cross multiply
    544.70x = 751.47 × 420.23
  4. Step 4: Simplify right side
    544.70x = 315,790.24
  5. Step 5: Solve for x
    x = 315,790.24/544.70
  6. Step 6: Final answer
    x = 579.75

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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.