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Finding the Fourth Proportional to 1,014.15, 1,521.23 and 283.73

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Solution

The fourth proportional to 1,014.15, 1,521.23 and 283.73 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.15 : 1,521.23 = 283.73 : x
  2. Step 2: Convert to fraction form
    1,014.15/1,521.23 = 283.73/x
  3. Step 3: Cross multiply
    1,014.15x = 1,521.23 × 283.73
  4. Step 4: Simplify right side
    1,014.15x = 431,619.43
  5. Step 5: Solve for x
    x = 431,619.43/1,014.15
  6. Step 6: Final answer
    x = 425.60

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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.