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Finding the Fourth Proportional to 720.83, 994.43 and 471.83

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Solution

The fourth proportional to 720.83, 994.43 and 471.83 is: 650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.83 : 994.43 = 471.83 : x
  2. Step 2: Convert to fraction form
    720.83/994.43 = 471.83/x
  3. Step 3: Cross multiply
    720.83x = 994.43 × 471.83
  4. Step 4: Simplify right side
    720.83x = 469,194.58
  5. Step 5: Solve for x
    x = 469,194.58/720.83
  6. Step 6: Final answer
    x = 650.91

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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.