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Finding the Fourth Proportional to 664.55, 917.20 and 506.94

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Solution

The fourth proportional to 664.55, 917.20 and 506.94 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.55 : 917.20 = 506.94 : x
  2. Step 2: Convert to fraction form
    664.55/917.20 = 506.94/x
  3. Step 3: Cross multiply
    664.55x = 917.20 × 506.94
  4. Step 4: Simplify right side
    664.55x = 464,965.37
  5. Step 5: Solve for x
    x = 464,965.37/664.55
  6. Step 6: Final answer
    x = 699.67

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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.