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Finding the Fourth Proportional to 1,116.02, 1,674.77 and 629.50

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Solution

The fourth proportional to 1,116.02, 1,674.77 and 629.50 is: 944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.02 : 1,674.77 = 629.50 : x
  2. Step 2: Convert to fraction form
    1,116.02/1,674.77 = 629.50/x
  3. Step 3: Cross multiply
    1,116.02x = 1,674.77 × 629.50
  4. Step 4: Simplify right side
    1,116.02x = 1,054,267.72
  5. Step 5: Solve for x
    x = 1,054,267.72/1,116.02
  6. Step 6: Final answer
    x = 944.67

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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.