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Finding the Fourth Proportional to 797.77, 1,196.45 and 310.56

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Solution

The fourth proportional to 797.77, 1,196.45 and 310.56 is: 465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.77 : 1,196.45 = 310.56 : x
  2. Step 2: Convert to fraction form
    797.77/1,196.45 = 310.56/x
  3. Step 3: Cross multiply
    797.77x = 1,196.45 × 310.56
  4. Step 4: Simplify right side
    797.77x = 371,569.51
  5. Step 5: Solve for x
    x = 371,569.51/797.77
  6. Step 6: Final answer
    x = 465.76

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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.