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Finding the Fourth Proportional to 1,012.36, 1,518.38 and 281.98

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Solution

The fourth proportional to 1,012.36, 1,518.38 and 281.98 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.36 : 1,518.38 = 281.98 : x
  2. Step 2: Convert to fraction form
    1,012.36/1,518.38 = 281.98/x
  3. Step 3: Cross multiply
    1,012.36x = 1,518.38 × 281.98
  4. Step 4: Simplify right side
    1,012.36x = 428,152.79
  5. Step 5: Solve for x
    x = 428,152.79/1,012.36
  6. Step 6: Final answer
    x = 422.93

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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.