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Finding the Fourth Proportional to 1,459.08, 2,013.94 and 838.28

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Solution

The fourth proportional to 1,459.08, 2,013.94 and 838.28 is: 1,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.08 : 2,013.94 = 838.28 : x
  2. Step 2: Convert to fraction form
    1,459.08/2,013.94 = 838.28/x
  3. Step 3: Cross multiply
    1,459.08x = 2,013.94 × 838.28
  4. Step 4: Simplify right side
    1,459.08x = 1,688,245.62
  5. Step 5: Solve for x
    x = 1,688,245.62/1,459.08
  6. Step 6: Final answer
    x = 1,157.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.