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Finding the Fourth Proportional to 628.13, 940.64 and 397.46

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Solution

The fourth proportional to 628.13, 940.64 and 397.46 is: 595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 940.64 = 397.46 : x
  2. Step 2: Convert to fraction form
    628.13/940.64 = 397.46/x
  3. Step 3: Cross multiply
    628.13x = 940.64 × 397.46
  4. Step 4: Simplify right side
    628.13x = 373,867.14
  5. Step 5: Solve for x
    x = 373,867.14/628.13
  6. Step 6: Final answer
    x = 595.20

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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.