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Finding the Fourth Proportional to 665.16, 917.70 and 444.15

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Solution

The fourth proportional to 665.16, 917.70 and 444.15 is: 612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 917.70 = 444.15 : x
  2. Step 2: Convert to fraction form
    665.16/917.70 = 444.15/x
  3. Step 3: Cross multiply
    665.16x = 917.70 × 444.15
  4. Step 4: Simplify right side
    665.16x = 407,596.46
  5. Step 5: Solve for x
    x = 407,596.46/665.16
  6. Step 6: Final answer
    x = 612.78

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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.