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Finding the Fourth Proportional to 453.05, 675.76 and 413.26

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Solution

The fourth proportional to 453.05, 675.76 and 413.26 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.05 : 675.76 = 413.26 : x
  2. Step 2: Convert to fraction form
    453.05/675.76 = 413.26/x
  3. Step 3: Cross multiply
    453.05x = 675.76 × 413.26
  4. Step 4: Simplify right side
    453.05x = 279,264.53
  5. Step 5: Solve for x
    x = 279,264.53/453.05
  6. Step 6: Final answer
    x = 616.41

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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.