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Finding the Fourth Proportional to 1,116.24, 1,674.24 and 683.28

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Solution

The fourth proportional to 1,116.24, 1,674.24 and 683.28 is: 1,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.24 : 1,674.24 = 683.28 : x
  2. Step 2: Convert to fraction form
    1,116.24/1,674.24 = 683.28/x
  3. Step 3: Cross multiply
    1,116.24x = 1,674.24 × 683.28
  4. Step 4: Simplify right side
    1,116.24x = 1,143,974.71
  5. Step 5: Solve for x
    x = 1,143,974.71/1,116.24
  6. Step 6: Final answer
    x = 1,024.85

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1.5x scale

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.