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Finding the Fourth Proportional to 1,147.40, 1,583.40 and 623.42

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Solution

The fourth proportional to 1,147.40, 1,583.40 and 623.42 is: 860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.40 : 1,583.40 = 623.42 : x
  2. Step 2: Convert to fraction form
    1,147.40/1,583.40 = 623.42/x
  3. Step 3: Cross multiply
    1,147.40x = 1,583.40 × 623.42
  4. Step 4: Simplify right side
    1,147.40x = 987,123.23
  5. Step 5: Solve for x
    x = 987,123.23/1,147.40
  6. Step 6: Final answer
    x = 860.31

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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.