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Finding the Fourth Proportional to 589.44, 879.90 and 546.70

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Solution

The fourth proportional to 589.44, 879.90 and 546.70 is: 816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 879.90 = 546.70 : x
  2. Step 2: Convert to fraction form
    589.44/879.90 = 546.70/x
  3. Step 3: Cross multiply
    589.44x = 879.90 × 546.70
  4. Step 4: Simplify right side
    589.44x = 481,038.73
  5. Step 5: Solve for x
    x = 481,038.73/589.44
  6. Step 6: Final answer
    x = 816.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.