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Finding the Fourth Proportional to 405.70, 608.54 and 275.37

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Solution

The fourth proportional to 405.70, 608.54 and 275.37 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.70 : 608.54 = 275.37 : x
  2. Step 2: Convert to fraction form
    405.70/608.54 = 275.37/x
  3. Step 3: Cross multiply
    405.70x = 608.54 × 275.37
  4. Step 4: Simplify right side
    405.70x = 167,572.28
  5. Step 5: Solve for x
    x = 167,572.28/405.70
  6. Step 6: Final answer
    x = 413.05

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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.