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Finding the Fourth Proportional to 1,433.40, 2,150.78 and 653.64

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Solution

The fourth proportional to 1,433.40, 2,150.78 and 653.64 is: 980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.40 : 2,150.78 = 653.64 : x
  2. Step 2: Convert to fraction form
    1,433.40/2,150.78 = 653.64/x
  3. Step 3: Cross multiply
    1,433.40x = 2,150.78 × 653.64
  4. Step 4: Simplify right side
    1,433.40x = 1,405,832.57
  5. Step 5: Solve for x
    x = 1,405,832.57/1,433.40
  6. Step 6: Final answer
    x = 980.77

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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.