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Finding the Fourth Proportional to 665.23, 918.12 and 403.33

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Solution

The fourth proportional to 665.23, 918.12 and 403.33 is: 556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.23 : 918.12 = 403.33 : x
  2. Step 2: Convert to fraction form
    665.23/918.12 = 403.33/x
  3. Step 3: Cross multiply
    665.23x = 918.12 × 403.33
  4. Step 4: Simplify right side
    665.23x = 370,305.34
  5. Step 5: Solve for x
    x = 370,305.34/665.23
  6. Step 6: Final answer
    x = 556.66

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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.