Home / 1,116.18-1,673.57-698.67

Finding the Fourth Proportional to 1,116.18, 1,673.57 and 698.67

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Solution

The fourth proportional to 1,116.18, 1,673.57 and 698.67 is: 1,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.18 : 1,673.57 = 698.67 : x
  2. Step 2: Convert to fraction form
    1,116.18/1,673.57 = 698.67/x
  3. Step 3: Cross multiply
    1,116.18x = 1,673.57 × 698.67
  4. Step 4: Simplify right side
    1,116.18x = 1,169,274.90
  5. Step 5: Solve for x
    x = 1,169,274.90/1,116.18
  6. Step 6: Final answer
    x = 1,047.57

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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.