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Finding the Fourth Proportional to 657.40, 985.40 and 413.36

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Solution

The fourth proportional to 657.40, 985.40 and 413.36 is: 619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.40 : 985.40 = 413.36 : x
  2. Step 2: Convert to fraction form
    657.40/985.40 = 413.36/x
  3. Step 3: Cross multiply
    657.40x = 985.40 × 413.36
  4. Step 4: Simplify right side
    657.40x = 407,324.94
  5. Step 5: Solve for x
    x = 407,324.94/657.40
  6. Step 6: Final answer
    x = 619.60

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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.