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Finding the Fourth Proportional to 628.04, 865.94 and 406.91

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Solution

The fourth proportional to 628.04, 865.94 and 406.91 is: 561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.04 : 865.94 = 406.91 : x
  2. Step 2: Convert to fraction form
    628.04/865.94 = 406.91/x
  3. Step 3: Cross multiply
    628.04x = 865.94 × 406.91
  4. Step 4: Simplify right side
    628.04x = 352,353.28
  5. Step 5: Solve for x
    x = 352,353.28/628.04
  6. Step 6: Final answer
    x = 561.04

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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.