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Finding the Fourth Proportional to 1,084.42, 1,496.64 and 664.84

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Solution

The fourth proportional to 1,084.42, 1,496.64 and 664.84 is: 917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.42 : 1,496.64 = 664.84 : x
  2. Step 2: Convert to fraction form
    1,084.42/1,496.64 = 664.84/x
  3. Step 3: Cross multiply
    1,084.42x = 1,496.64 × 664.84
  4. Step 4: Simplify right side
    1,084.42x = 995,026.14
  5. Step 5: Solve for x
    x = 995,026.14/1,084.42
  6. Step 6: Final answer
    x = 917.57

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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.