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Finding the Fourth Proportional to 797.49, 1,196.55 and 523.53

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Solution

The fourth proportional to 797.49, 1,196.55 and 523.53 is: 785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.49 : 1,196.55 = 523.53 : x
  2. Step 2: Convert to fraction form
    797.49/1,196.55 = 523.53/x
  3. Step 3: Cross multiply
    797.49x = 1,196.55 × 523.53
  4. Step 4: Simplify right side
    797.49x = 626,429.82
  5. Step 5: Solve for x
    x = 626,429.82/797.49
  6. Step 6: Final answer
    x = 785.50

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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.