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Finding the Fourth Proportional to 628.19, 866.74 and 406.79

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Solution

The fourth proportional to 628.19, 866.74 and 406.79 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.19 : 866.74 = 406.79 : x
  2. Step 2: Convert to fraction form
    628.19/866.74 = 406.79/x
  3. Step 3: Cross multiply
    628.19x = 866.74 × 406.79
  4. Step 4: Simplify right side
    628.19x = 352,581.16
  5. Step 5: Solve for x
    x = 352,581.16/628.19
  6. Step 6: Final answer
    x = 561.27

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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.