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Finding the Fourth Proportional to 405.49, 603.95 and 400.09

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Solution

The fourth proportional to 405.49, 603.95 and 400.09 is: 595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.49 : 603.95 = 400.09 : x
  2. Step 2: Convert to fraction form
    405.49/603.95 = 400.09/x
  3. Step 3: Cross multiply
    405.49x = 603.95 × 400.09
  4. Step 4: Simplify right side
    405.49x = 241,634.36
  5. Step 5: Solve for x
    x = 241,634.36/405.49
  6. Step 6: Final answer
    x = 595.91

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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.