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Finding the Fourth Proportional to 1,147.55, 1,583.63 and 623.59

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Solution

The fourth proportional to 1,147.55, 1,583.63 and 623.59 is: 860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.55 : 1,583.63 = 623.59 : x
  2. Step 2: Convert to fraction form
    1,147.55/1,583.63 = 623.59/x
  3. Step 3: Cross multiply
    1,147.55x = 1,583.63 × 623.59
  4. Step 4: Simplify right side
    1,147.55x = 987,533.43
  5. Step 5: Solve for x
    x = 987,533.43/1,147.55
  6. Step 6: Final answer
    x = 860.56

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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.