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Finding the Fourth Proportional to 1,269.91, 1,905.18 and 436.99

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Solution

The fourth proportional to 1,269.91, 1,905.18 and 436.99 is: 655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.91 : 1,905.18 = 436.99 : x
  2. Step 2: Convert to fraction form
    1,269.91/1,905.18 = 436.99/x
  3. Step 3: Cross multiply
    1,269.91x = 1,905.18 × 436.99
  4. Step 4: Simplify right side
    1,269.91x = 832,539.85
  5. Step 5: Solve for x
    x = 832,539.85/1,269.91
  6. Step 6: Final answer
    x = 655.59

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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.