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Finding the Fourth Proportional to 797.56, 1,197.08 and 407.84

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Solution

The fourth proportional to 797.56, 1,197.08 and 407.84 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.56 : 1,197.08 = 407.84 : x
  2. Step 2: Convert to fraction form
    797.56/1,197.08 = 407.84/x
  3. Step 3: Cross multiply
    797.56x = 1,197.08 × 407.84
  4. Step 4: Simplify right side
    797.56x = 488,218.06
  5. Step 5: Solve for x
    x = 488,218.06/797.56
  6. Step 6: Final answer
    x = 612.14

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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.