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Finding the Fourth Proportional to 547.76, 755.40 and 423.23

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Solution

The fourth proportional to 547.76, 755.40 and 423.23 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.76 : 755.40 = 423.23 : x
  2. Step 2: Convert to fraction form
    547.76/755.40 = 423.23/x
  3. Step 3: Cross multiply
    547.76x = 755.40 × 423.23
  4. Step 4: Simplify right side
    547.76x = 319,707.94
  5. Step 5: Solve for x
    x = 319,707.94/547.76
  6. Step 6: Final answer
    x = 583.66

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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.