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Finding the Fourth Proportional to 665.31, 917.91 and 403.23

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Solution

The fourth proportional to 665.31, 917.91 and 403.23 is: 556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.31 : 917.91 = 403.23 : x
  2. Step 2: Convert to fraction form
    665.31/917.91 = 403.23/x
  3. Step 3: Cross multiply
    665.31x = 917.91 × 403.23
  4. Step 4: Simplify right side
    665.31x = 370,128.85
  5. Step 5: Solve for x
    x = 370,128.85/665.31
  6. Step 6: Final answer
    x = 556.33

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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.