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Finding the Fourth Proportional to 1,120.84, 1,680.38 and 504.52

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Solution

The fourth proportional to 1,120.84, 1,680.38 and 504.52 is: 756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.84 : 1,680.38 = 504.52 : x
  2. Step 2: Convert to fraction form
    1,120.84/1,680.38 = 504.52/x
  3. Step 3: Cross multiply
    1,120.84x = 1,680.38 × 504.52
  4. Step 4: Simplify right side
    1,120.84x = 847,785.32
  5. Step 5: Solve for x
    x = 847,785.32/1,120.84
  6. Step 6: Final answer
    x = 756.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.