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Finding the Fourth Proportional to 816.63, 1,126.82 and 485.04

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Solution

The fourth proportional to 816.63, 1,126.82 and 485.04 is: 669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.63 : 1,126.82 = 485.04 : x
  2. Step 2: Convert to fraction form
    816.63/1,126.82 = 485.04/x
  3. Step 3: Cross multiply
    816.63x = 1,126.82 × 485.04
  4. Step 4: Simplify right side
    816.63x = 546,550.35
  5. Step 5: Solve for x
    x = 546,550.35/816.63
  6. Step 6: Final answer
    x = 669.28

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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.