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Finding the Fourth Proportional to 1,137.97, 1,705.51 and 553.11

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Solution

The fourth proportional to 1,137.97, 1,705.51 and 553.11 is: 828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.97 : 1,705.51 = 553.11 : x
  2. Step 2: Convert to fraction form
    1,137.97/1,705.51 = 553.11/x
  3. Step 3: Cross multiply
    1,137.97x = 1,705.51 × 553.11
  4. Step 4: Simplify right side
    1,137.97x = 943,334.64
  5. Step 5: Solve for x
    x = 943,334.64/1,137.97
  6. Step 6: Final answer
    x = 828.96

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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.