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Finding the Fourth Proportional to 1,004.87, 1,505 and 845.84

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Solution

The fourth proportional to 1,004.87, 1,505 and 845.84 is: 1,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.87 : 1,505 = 845.84 : x
  2. Step 2: Convert to fraction form
    1,004.87/1,505 = 845.84/x
  3. Step 3: Cross multiply
    1,004.87x = 1,505 × 845.84
  4. Step 4: Simplify right side
    1,004.87x = 1,272,989.20
  5. Step 5: Solve for x
    x = 1,272,989.20/1,004.87
  6. Step 6: Final answer
    x = 1,266.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.