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Finding the Fourth Proportional to 628.50, 867.38 and 348.74

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Solution

The fourth proportional to 628.50, 867.38 and 348.74 is: 481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.50 : 867.38 = 348.74 : x
  2. Step 2: Convert to fraction form
    628.50/867.38 = 348.74/x
  3. Step 3: Cross multiply
    628.50x = 867.38 × 348.74
  4. Step 4: Simplify right side
    628.50x = 302,484.02
  5. Step 5: Solve for x
    x = 302,484.02/628.50
  6. Step 6: Final answer
    x = 481.28

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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.