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Finding the Fourth Proportional to 1,228.80, 1,842.60 and 535.44

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Solution

The fourth proportional to 1,228.80, 1,842.60 and 535.44 is: 802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.80 : 1,842.60 = 535.44 : x
  2. Step 2: Convert to fraction form
    1,228.80/1,842.60 = 535.44/x
  3. Step 3: Cross multiply
    1,228.80x = 1,842.60 × 535.44
  4. Step 4: Simplify right side
    1,228.80x = 986,601.74
  5. Step 5: Solve for x
    x = 986,601.74/1,228.80
  6. Step 6: Final answer
    x = 802.90

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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.