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Finding the Fourth Proportional to 1,336.94, 2,005.40 and 471.32

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Solution

The fourth proportional to 1,336.94, 2,005.40 and 471.32 is: 706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.94 : 2,005.40 = 471.32 : x
  2. Step 2: Convert to fraction form
    1,336.94/2,005.40 = 471.32/x
  3. Step 3: Cross multiply
    1,336.94x = 2,005.40 × 471.32
  4. Step 4: Simplify right side
    1,336.94x = 945,175.10
  5. Step 5: Solve for x
    x = 945,175.10/1,336.94
  6. Step 6: Final answer
    x = 706.97

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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.