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Finding the Fourth Proportional to 628.74, 942.68 and 340.38

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Solution

The fourth proportional to 628.74, 942.68 and 340.38 is: 510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.74 : 942.68 = 340.38 : x
  2. Step 2: Convert to fraction form
    628.74/942.68 = 340.38/x
  3. Step 3: Cross multiply
    628.74x = 942.68 × 340.38
  4. Step 4: Simplify right side
    628.74x = 320,869.42
  5. Step 5: Solve for x
    x = 320,869.42/628.74
  6. Step 6: Final answer
    x = 510.34

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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.