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Finding the Fourth Proportional to 847.06, 1,169.43 and 646.31

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Solution

The fourth proportional to 847.06, 1,169.43 and 646.31 is: 892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.06 : 1,169.43 = 646.31 : x
  2. Step 2: Convert to fraction form
    847.06/1,169.43 = 646.31/x
  3. Step 3: Cross multiply
    847.06x = 1,169.43 × 646.31
  4. Step 4: Simplify right side
    847.06x = 755,811.07
  5. Step 5: Solve for x
    x = 755,811.07/847.06
  6. Step 6: Final answer
    x = 892.28

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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.