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Finding the Fourth Proportional to 426.68, 634.53 and 413.01

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Solution

The fourth proportional to 426.68, 634.53 and 413.01 is: 614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.68 : 634.53 = 413.01 : x
  2. Step 2: Convert to fraction form
    426.68/634.53 = 413.01/x
  3. Step 3: Cross multiply
    426.68x = 634.53 × 413.01
  4. Step 4: Simplify right side
    426.68x = 262,068.78
  5. Step 5: Solve for x
    x = 262,068.78/426.68
  6. Step 6: Final answer
    x = 614.21

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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.