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Finding the Fourth Proportional to 1,538.55, 2,307.83 and 994.23

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Solution

The fourth proportional to 1,538.55, 2,307.83 and 994.23 is: 1,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.55 : 2,307.83 = 994.23 : x
  2. Step 2: Convert to fraction form
    1,538.55/2,307.83 = 994.23/x
  3. Step 3: Cross multiply
    1,538.55x = 2,307.83 × 994.23
  4. Step 4: Simplify right side
    1,538.55x = 2,294,508.85
  5. Step 5: Solve for x
    x = 2,294,508.85/1,538.55
  6. Step 6: Final answer
    x = 1,491.35

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Why These Related Problems?

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