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Finding the Fourth Proportional to 628.60, 942.52 and 263.20

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Solution

The fourth proportional to 628.60, 942.52 and 263.20 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 942.52 = 263.20 : x
  2. Step 2: Convert to fraction form
    628.60/942.52 = 263.20/x
  3. Step 3: Cross multiply
    628.60x = 942.52 × 263.20
  4. Step 4: Simplify right side
    628.60x = 248,071.26
  5. Step 5: Solve for x
    x = 248,071.26/628.60
  6. Step 6: Final answer
    x = 394.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.