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Finding the Fourth Proportional to 665.16, 917.83 and 385.17

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Solution

The fourth proportional to 665.16, 917.83 and 385.17 is: 531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 917.83 = 385.17 : x
  2. Step 2: Convert to fraction form
    665.16/917.83 = 385.17/x
  3. Step 3: Cross multiply
    665.16x = 917.83 × 385.17
  4. Step 4: Simplify right side
    665.16x = 353,522.78
  5. Step 5: Solve for x
    x = 353,522.78/665.16
  6. Step 6: Final answer
    x = 531.48

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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.