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Finding the Fourth Proportional to 682.85, 942.55 and 461.72

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Solution

The fourth proportional to 682.85, 942.55 and 461.72 is: 637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.85 : 942.55 = 461.72 : x
  2. Step 2: Convert to fraction form
    682.85/942.55 = 461.72/x
  3. Step 3: Cross multiply
    682.85x = 942.55 × 461.72
  4. Step 4: Simplify right side
    682.85x = 435,188.32
  5. Step 5: Solve for x
    x = 435,188.32/682.85
  6. Step 6: Final answer
    x = 637.32

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1.5x scale

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.