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Finding the Fourth Proportional to 619.86, 929.92 and 295.06

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Solution

The fourth proportional to 619.86, 929.92 and 295.06 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.86 : 929.92 = 295.06 : x
  2. Step 2: Convert to fraction form
    619.86/929.92 = 295.06/x
  3. Step 3: Cross multiply
    619.86x = 929.92 × 295.06
  4. Step 4: Simplify right side
    619.86x = 274,382.20
  5. Step 5: Solve for x
    x = 274,382.20/619.86
  6. Step 6: Final answer
    x = 442.65

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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.