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Finding the Fourth Proportional to 797.70, 1,099.53 and 622.74

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Solution

The fourth proportional to 797.70, 1,099.53 and 622.74 is: 858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,099.53 = 622.74 : x
  2. Step 2: Convert to fraction form
    797.70/1,099.53 = 622.74/x
  3. Step 3: Cross multiply
    797.70x = 1,099.53 × 622.74
  4. Step 4: Simplify right side
    797.70x = 684,721.31
  5. Step 5: Solve for x
    x = 684,721.31/797.70
  6. Step 6: Final answer
    x = 858.37

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1.5x scale

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.