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Finding the Fourth Proportional to 1,289.56, 1,934.08 and 423.68

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Solution

The fourth proportional to 1,289.56, 1,934.08 and 423.68 is: 635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.56 : 1,934.08 = 423.68 : x
  2. Step 2: Convert to fraction form
    1,289.56/1,934.08 = 423.68/x
  3. Step 3: Cross multiply
    1,289.56x = 1,934.08 × 423.68
  4. Step 4: Simplify right side
    1,289.56x = 819,431.01
  5. Step 5: Solve for x
    x = 819,431.01/1,289.56
  6. Step 6: Final answer
    x = 635.43

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1.5x scale

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.