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Finding the Fourth Proportional to 665.34, 917.71 and 444.30

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Solution

The fourth proportional to 665.34, 917.71 and 444.30 is: 612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 917.71 = 444.30 : x
  2. Step 2: Convert to fraction form
    665.34/917.71 = 444.30/x
  3. Step 3: Cross multiply
    665.34x = 917.71 × 444.30
  4. Step 4: Simplify right side
    665.34x = 407,738.55
  5. Step 5: Solve for x
    x = 407,738.55/665.34
  6. Step 6: Final answer
    x = 612.83

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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.