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Finding the Fourth Proportional to 1,147.78, 1,583.94 and 623.81

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Solution

The fourth proportional to 1,147.78, 1,583.94 and 623.81 is: 860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.78 : 1,583.94 = 623.81 : x
  2. Step 2: Convert to fraction form
    1,147.78/1,583.94 = 623.81/x
  3. Step 3: Cross multiply
    1,147.78x = 1,583.94 × 623.81
  4. Step 4: Simplify right side
    1,147.78x = 988,080.40
  5. Step 5: Solve for x
    x = 988,080.40/1,147.78
  6. Step 6: Final answer
    x = 860.86

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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.