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Finding the Fourth Proportional to 1,091.02, 1,636.71 and 657.67

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Solution

The fourth proportional to 1,091.02, 1,636.71 and 657.67 is: 986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.02 : 1,636.71 = 657.67 : x
  2. Step 2: Convert to fraction form
    1,091.02/1,636.71 = 657.67/x
  3. Step 3: Cross multiply
    1,091.02x = 1,636.71 × 657.67
  4. Step 4: Simplify right side
    1,091.02x = 1,076,415.07
  5. Step 5: Solve for x
    x = 1,076,415.07/1,091.02
  6. Step 6: Final answer
    x = 986.61

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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.