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Finding the Fourth Proportional to 1,433.55, 2,148.87 and 654.09

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Solution

The fourth proportional to 1,433.55, 2,148.87 and 654.09 is: 980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.55 : 2,148.87 = 654.09 : x
  2. Step 2: Convert to fraction form
    1,433.55/2,148.87 = 654.09/x
  3. Step 3: Cross multiply
    1,433.55x = 2,148.87 × 654.09
  4. Step 4: Simplify right side
    1,433.55x = 1,405,554.38
  5. Step 5: Solve for x
    x = 1,405,554.38/1,433.55
  6. Step 6: Final answer
    x = 980.47

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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.