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Finding the Fourth Proportional to 405.33, 603.48 and 400.47

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Solution

The fourth proportional to 405.33, 603.48 and 400.47 is: 596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.33 : 603.48 = 400.47 : x
  2. Step 2: Convert to fraction form
    405.33/603.48 = 400.47/x
  3. Step 3: Cross multiply
    405.33x = 603.48 × 400.47
  4. Step 4: Simplify right side
    405.33x = 241,675.64
  5. Step 5: Solve for x
    x = 241,675.64/405.33
  6. Step 6: Final answer
    x = 596.24

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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.