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Finding the Fourth Proportional to 1,107.21, 1,657.17 and 863.01

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Solution

The fourth proportional to 1,107.21, 1,657.17 and 863.01 is: 1,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.21 : 1,657.17 = 863.01 : x
  2. Step 2: Convert to fraction form
    1,107.21/1,657.17 = 863.01/x
  3. Step 3: Cross multiply
    1,107.21x = 1,657.17 × 863.01
  4. Step 4: Simplify right side
    1,107.21x = 1,430,154.28
  5. Step 5: Solve for x
    x = 1,430,154.28/1,107.21
  6. Step 6: Final answer
    x = 1,291.67

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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.