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Finding the Fourth Proportional to 413.65, 617.06 and 384.18

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Solution

The fourth proportional to 413.65, 617.06 and 384.18 is: 573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.65 : 617.06 = 384.18 : x
  2. Step 2: Convert to fraction form
    413.65/617.06 = 384.18/x
  3. Step 3: Cross multiply
    413.65x = 617.06 × 384.18
  4. Step 4: Simplify right side
    413.65x = 237,062.11
  5. Step 5: Solve for x
    x = 237,062.11/413.65
  6. Step 6: Final answer
    x = 573.11

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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.