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Finding the Fourth Proportional to 455.04, 681.80 and 404.02

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Solution

The fourth proportional to 455.04, 681.80 and 404.02 is: 605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 681.80 = 404.02 : x
  2. Step 2: Convert to fraction form
    455.04/681.80 = 404.02/x
  3. Step 3: Cross multiply
    455.04x = 681.80 × 404.02
  4. Step 4: Simplify right side
    455.04x = 275,460.84
  5. Step 5: Solve for x
    x = 275,460.84/455.04
  6. Step 6: Final answer
    x = 605.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.