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Finding the Fourth Proportional to 1,269.24, 1,904.48 and 619.62

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Solution

The fourth proportional to 1,269.24, 1,904.48 and 619.62 is: 929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.24 : 1,904.48 = 619.62 : x
  2. Step 2: Convert to fraction form
    1,269.24/1,904.48 = 619.62/x
  3. Step 3: Cross multiply
    1,269.24x = 1,904.48 × 619.62
  4. Step 4: Simplify right side
    1,269.24x = 1,180,053.90
  5. Step 5: Solve for x
    x = 1,180,053.90/1,269.24
  6. Step 6: Final answer
    x = 929.73

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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.