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Finding the Fourth Proportional to 1,269.86, 1,904.76 and 404.17

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Solution

The fourth proportional to 1,269.86, 1,904.76 and 404.17 is: 606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.86 : 1,904.76 = 404.17 : x
  2. Step 2: Convert to fraction form
    1,269.86/1,904.76 = 404.17/x
  3. Step 3: Cross multiply
    1,269.86x = 1,904.76 × 404.17
  4. Step 4: Simplify right side
    1,269.86x = 769,842.09
  5. Step 5: Solve for x
    x = 769,842.09/1,269.86
  6. Step 6: Final answer
    x = 606.24

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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.