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Finding the Fourth Proportional to 797.34, 1,193.16 and 578.22

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Solution

The fourth proportional to 797.34, 1,193.16 and 578.22 is: 865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.34 : 1,193.16 = 578.22 : x
  2. Step 2: Convert to fraction form
    797.34/1,193.16 = 578.22/x
  3. Step 3: Cross multiply
    797.34x = 1,193.16 × 578.22
  4. Step 4: Simplify right side
    797.34x = 689,908.98
  5. Step 5: Solve for x
    x = 689,908.98/797.34
  6. Step 6: Final answer
    x = 865.26

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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.