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Finding the Fourth Proportional to 455.59, 681.04 and 338.95

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Solution

The fourth proportional to 455.59, 681.04 and 338.95 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.59 : 681.04 = 338.95 : x
  2. Step 2: Convert to fraction form
    455.59/681.04 = 338.95/x
  3. Step 3: Cross multiply
    455.59x = 681.04 × 338.95
  4. Step 4: Simplify right side
    455.59x = 230,838.51
  5. Step 5: Solve for x
    x = 230,838.51/455.59
  6. Step 6: Final answer
    x = 506.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.