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Finding the Fourth Proportional to 797.15, 1,196.40 and 310.55

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Solution

The fourth proportional to 797.15, 1,196.40 and 310.55 is: 466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.15 : 1,196.40 = 310.55 : x
  2. Step 2: Convert to fraction form
    797.15/1,196.40 = 310.55/x
  3. Step 3: Cross multiply
    797.15x = 1,196.40 × 310.55
  4. Step 4: Simplify right side
    797.15x = 371,536.04
  5. Step 5: Solve for x
    x = 371,536.04/797.15
  6. Step 6: Final answer
    x = 466.08

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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.