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Finding the Fourth Proportional to 455.94, 629.49 and 316.02

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Solution

The fourth proportional to 455.94, 629.49 and 316.02 is: 436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.94 : 629.49 = 316.02 : x
  2. Step 2: Convert to fraction form
    455.94/629.49 = 316.02/x
  3. Step 3: Cross multiply
    455.94x = 629.49 × 316.02
  4. Step 4: Simplify right side
    455.94x = 198,931.43
  5. Step 5: Solve for x
    x = 198,931.43/455.94
  6. Step 6: Final answer
    x = 436.31

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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.