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Finding the Fourth Proportional to 1,228.20, 1,842.63 and 535.02

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Solution

The fourth proportional to 1,228.20, 1,842.63 and 535.02 is: 802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.20 : 1,842.63 = 535.02 : x
  2. Step 2: Convert to fraction form
    1,228.20/1,842.63 = 535.02/x
  3. Step 3: Cross multiply
    1,228.20x = 1,842.63 × 535.02
  4. Step 4: Simplify right side
    1,228.20x = 985,843.90
  5. Step 5: Solve for x
    x = 985,843.90/1,228.20
  6. Step 6: Final answer
    x = 802.67

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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.