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Finding the Fourth Proportional to 919.53, 1,269.86 and 584.06

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Solution

The fourth proportional to 919.53, 1,269.86 and 584.06 is: 806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.53 : 1,269.86 = 584.06 : x
  2. Step 2: Convert to fraction form
    919.53/1,269.86 = 584.06/x
  3. Step 3: Cross multiply
    919.53x = 1,269.86 × 584.06
  4. Step 4: Simplify right side
    919.53x = 741,682.18
  5. Step 5: Solve for x
    x = 741,682.18/919.53
  6. Step 6: Final answer
    x = 806.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.