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Finding the Fourth Proportional to 406.14, 605.64 and 383.91

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Solution

The fourth proportional to 406.14, 605.64 and 383.91 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.14 : 605.64 = 383.91 : x
  2. Step 2: Convert to fraction form
    406.14/605.64 = 383.91/x
  3. Step 3: Cross multiply
    406.14x = 605.64 × 383.91
  4. Step 4: Simplify right side
    406.14x = 232,511.25
  5. Step 5: Solve for x
    x = 232,511.25/406.14
  6. Step 6: Final answer
    x = 572.49

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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.