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Finding the Fourth Proportional to 619.63, 929.80 and 277.63

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Solution

The fourth proportional to 619.63, 929.80 and 277.63 is: 416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.63 : 929.80 = 277.63 : x
  2. Step 2: Convert to fraction form
    619.63/929.80 = 277.63/x
  3. Step 3: Cross multiply
    619.63x = 929.80 × 277.63
  4. Step 4: Simplify right side
    619.63x = 258,135.03
  5. Step 5: Solve for x
    x = 258,135.03/619.63
  6. Step 6: Final answer
    x = 416.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.