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Finding the Fourth Proportional to 665.56, 918.57 and 403.66

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Solution

The fourth proportional to 665.56, 918.57 and 403.66 is: 557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.56 : 918.57 = 403.66 : x
  2. Step 2: Convert to fraction form
    665.56/918.57 = 403.66/x
  3. Step 3: Cross multiply
    665.56x = 918.57 × 403.66
  4. Step 4: Simplify right side
    665.56x = 370,789.97
  5. Step 5: Solve for x
    x = 370,789.97/665.56
  6. Step 6: Final answer
    x = 557.11

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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.