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Finding the Fourth Proportional to 1,054.73, 1,455.53 and 612.89

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Solution

The fourth proportional to 1,054.73, 1,455.53 and 612.89 is: 845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.73 : 1,455.53 = 612.89 : x
  2. Step 2: Convert to fraction form
    1,054.73/1,455.53 = 612.89/x
  3. Step 3: Cross multiply
    1,054.73x = 1,455.53 × 612.89
  4. Step 4: Simplify right side
    1,054.73x = 892,069.44
  5. Step 5: Solve for x
    x = 892,069.44/1,054.73
  6. Step 6: Final answer
    x = 845.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.