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Finding the Fourth Proportional to 413.62, 618.60 and 315

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Solution

The fourth proportional to 413.62, 618.60 and 315 is: 471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.62 : 618.60 = 315 : x
  2. Step 2: Convert to fraction form
    413.62/618.60 = 315/x
  3. Step 3: Cross multiply
    413.62x = 618.60 × 315
  4. Step 4: Simplify right side
    413.62x = 194,859
  5. Step 5: Solve for x
    x = 194,859/413.62
  6. Step 6: Final answer
    x = 471.11

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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.