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Finding the Fourth Proportional to 665.35, 918.57 and 455.83

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Solution

The fourth proportional to 665.35, 918.57 and 455.83 is: 629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.35 : 918.57 = 455.83 : x
  2. Step 2: Convert to fraction form
    665.35/918.57 = 455.83/x
  3. Step 3: Cross multiply
    665.35x = 918.57 × 455.83
  4. Step 4: Simplify right side
    665.35x = 418,711.76
  5. Step 5: Solve for x
    x = 418,711.76/665.35
  6. Step 6: Final answer
    x = 629.31

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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.