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Finding the Fourth Proportional to 413.07, 618.75 and 276.18

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Solution

The fourth proportional to 413.07, 618.75 and 276.18 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.07 : 618.75 = 276.18 : x
  2. Step 2: Convert to fraction form
    413.07/618.75 = 276.18/x
  3. Step 3: Cross multiply
    413.07x = 618.75 × 276.18
  4. Step 4: Simplify right side
    413.07x = 170,886.38
  5. Step 5: Solve for x
    x = 170,886.38/413.07
  6. Step 6: Final answer
    x = 413.70

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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.