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Finding the Fourth Proportional to 682.64, 942 and 450.08

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Solution

The fourth proportional to 682.64, 942 and 450.08 is: 621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.64 : 942 = 450.08 : x
  2. Step 2: Convert to fraction form
    682.64/942 = 450.08/x
  3. Step 3: Cross multiply
    682.64x = 942 × 450.08
  4. Step 4: Simplify right side
    682.64x = 423,975.36
  5. Step 5: Solve for x
    x = 423,975.36/682.64
  6. Step 6: Final answer
    x = 621.08

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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.