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Finding the Fourth Proportional to 801.21, 1,106.46 and 553.17

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Solution

The fourth proportional to 801.21, 1,106.46 and 553.17 is: 763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.21 : 1,106.46 = 553.17 : x
  2. Step 2: Convert to fraction form
    801.21/1,106.46 = 553.17/x
  3. Step 3: Cross multiply
    801.21x = 1,106.46 × 553.17
  4. Step 4: Simplify right side
    801.21x = 612,060.48
  5. Step 5: Solve for x
    x = 612,060.48/801.21
  6. Step 6: Final answer
    x = 763.92

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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.