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Finding the Fourth Proportional to 797.61, 1,100.76 and 443.57

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Solution

The fourth proportional to 797.61, 1,100.76 and 443.57 is: 612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.61 : 1,100.76 = 443.57 : x
  2. Step 2: Convert to fraction form
    797.61/1,100.76 = 443.57/x
  3. Step 3: Cross multiply
    797.61x = 1,100.76 × 443.57
  4. Step 4: Simplify right side
    797.61x = 488,264.11
  5. Step 5: Solve for x
    x = 488,264.11/797.61
  6. Step 6: Final answer
    x = 612.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.