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Finding the Fourth Proportional to 1,015.98, 1,523.76 and 285.63

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Solution

The fourth proportional to 1,015.98, 1,523.76 and 285.63 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.98 : 1,523.76 = 285.63 : x
  2. Step 2: Convert to fraction form
    1,015.98/1,523.76 = 285.63/x
  3. Step 3: Cross multiply
    1,015.98x = 1,523.76 × 285.63
  4. Step 4: Simplify right side
    1,015.98x = 435,231.57
  5. Step 5: Solve for x
    x = 435,231.57/1,015.98
  6. Step 6: Final answer
    x = 428.39

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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.