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Finding the Fourth Proportional to 628.13, 866.53 and 391.93

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Solution

The fourth proportional to 628.13, 866.53 and 391.93 is: 540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 866.53 = 391.93 : x
  2. Step 2: Convert to fraction form
    628.13/866.53 = 391.93/x
  3. Step 3: Cross multiply
    628.13x = 866.53 × 391.93
  4. Step 4: Simplify right side
    628.13x = 339,617.43
  5. Step 5: Solve for x
    x = 339,617.43/628.13
  6. Step 6: Final answer
    x = 540.68

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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.