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Finding the Fourth Proportional to 665.56, 998.33 and 459.50

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Solution

The fourth proportional to 665.56, 998.33 and 459.50 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.56 : 998.33 = 459.50 : x
  2. Step 2: Convert to fraction form
    665.56/998.33 = 459.50/x
  3. Step 3: Cross multiply
    665.56x = 998.33 × 459.50
  4. Step 4: Simplify right side
    665.56x = 458,730.34
  5. Step 5: Solve for x
    x = 458,730.34/665.56
  6. Step 6: Final answer
    x = 689.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.