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Finding the Fourth Proportional to 682.83, 942 and 447.03

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Solution

The fourth proportional to 682.83, 942 and 447.03 is: 616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 942 = 447.03 : x
  2. Step 2: Convert to fraction form
    682.83/942 = 447.03/x
  3. Step 3: Cross multiply
    682.83x = 942 × 447.03
  4. Step 4: Simplify right side
    682.83x = 421,102.26
  5. Step 5: Solve for x
    x = 421,102.26/682.83
  6. Step 6: Final answer
    x = 616.70

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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.