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Finding the Fourth Proportional to 1,405.84, 1,940.16 and 846.64

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Solution

The fourth proportional to 1,405.84, 1,940.16 and 846.64 is: 1,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.84 : 1,940.16 = 846.64 : x
  2. Step 2: Convert to fraction form
    1,405.84/1,940.16 = 846.64/x
  3. Step 3: Cross multiply
    1,405.84x = 1,940.16 × 846.64
  4. Step 4: Simplify right side
    1,405.84x = 1,642,617.06
  5. Step 5: Solve for x
    x = 1,642,617.06/1,405.84
  6. Step 6: Final answer
    x = 1,168.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.