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Finding the Fourth Proportional to 689.91, 1,033.03 and 505.23

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Solution

The fourth proportional to 689.91, 1,033.03 and 505.23 is: 756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 1,033.03 = 505.23 : x
  2. Step 2: Convert to fraction form
    689.91/1,033.03 = 505.23/x
  3. Step 3: Cross multiply
    689.91x = 1,033.03 × 505.23
  4. Step 4: Simplify right side
    689.91x = 521,917.75
  5. Step 5: Solve for x
    x = 521,917.75/689.91
  6. Step 6: Final answer
    x = 756.50

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Double scale
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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.