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Finding the Fourth Proportional to 1,336.42, 2,004.71 and 606.05

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Solution

The fourth proportional to 1,336.42, 2,004.71 and 606.05 is: 909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.42 : 2,004.71 = 606.05 : x
  2. Step 2: Convert to fraction form
    1,336.42/2,004.71 = 606.05/x
  3. Step 3: Cross multiply
    1,336.42x = 2,004.71 × 606.05
  4. Step 4: Simplify right side
    1,336.42x = 1,214,956.48
  5. Step 5: Solve for x
    x = 1,214,956.48/1,336.42
  6. Step 6: Final answer
    x = 909.11

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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.