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Finding the Fourth Proportional to 619.87, 929.28 and 346.05

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Solution

The fourth proportional to 619.87, 929.28 and 346.05 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.87 : 929.28 = 346.05 : x
  2. Step 2: Convert to fraction form
    619.87/929.28 = 346.05/x
  3. Step 3: Cross multiply
    619.87x = 929.28 × 346.05
  4. Step 4: Simplify right side
    619.87x = 321,577.34
  5. Step 5: Solve for x
    x = 321,577.34/619.87
  6. Step 6: Final answer
    x = 518.78

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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.