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Finding the Fourth Proportional to 1,336.40, 2,005 and 470.78

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Solution

The fourth proportional to 1,336.40, 2,005 and 470.78 is: 706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.40 : 2,005 = 470.78 : x
  2. Step 2: Convert to fraction form
    1,336.40/2,005 = 470.78/x
  3. Step 3: Cross multiply
    1,336.40x = 2,005 × 470.78
  4. Step 4: Simplify right side
    1,336.40x = 943,913.90
  5. Step 5: Solve for x
    x = 943,913.90/1,336.40
  6. Step 6: Final answer
    x = 706.31

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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.