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Finding the Fourth Proportional to 1,518.86, 2,278.04 and 422.99

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Solution

The fourth proportional to 1,518.86, 2,278.04 and 422.99 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.86 : 2,278.04 = 422.99 : x
  2. Step 2: Convert to fraction form
    1,518.86/2,278.04 = 422.99/x
  3. Step 3: Cross multiply
    1,518.86x = 2,278.04 × 422.99
  4. Step 4: Simplify right side
    1,518.86x = 963,574.63
  5. Step 5: Solve for x
    x = 963,574.63/1,518.86
  6. Step 6: Final answer
    x = 634.41

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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.