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Finding the Fourth Proportional to 413.40, 614.67 and 402.60

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Solution

The fourth proportional to 413.40, 614.67 and 402.60 is: 598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 614.67 = 402.60 : x
  2. Step 2: Convert to fraction form
    413.40/614.67 = 402.60/x
  3. Step 3: Cross multiply
    413.40x = 614.67 × 402.60
  4. Step 4: Simplify right side
    413.40x = 247,466.14
  5. Step 5: Solve for x
    x = 247,466.14/413.40
  6. Step 6: Final answer
    x = 598.61

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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.