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Finding the Fourth Proportional to 798.85, 1,102.18 and 484.23

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Solution

The fourth proportional to 798.85, 1,102.18 and 484.23 is: 668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.85 : 1,102.18 = 484.23 : x
  2. Step 2: Convert to fraction form
    798.85/1,102.18 = 484.23/x
  3. Step 3: Cross multiply
    798.85x = 1,102.18 × 484.23
  4. Step 4: Simplify right side
    798.85x = 533,706.20
  5. Step 5: Solve for x
    x = 533,706.20/798.85
  6. Step 6: Final answer
    x = 668.09

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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.