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Finding the Fourth Proportional to 480.84, 723.84 and 413.86

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Solution

The fourth proportional to 480.84, 723.84 and 413.86 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.84 : 723.84 = 413.86 : x
  2. Step 2: Convert to fraction form
    480.84/723.84 = 413.86/x
  3. Step 3: Cross multiply
    480.84x = 723.84 × 413.86
  4. Step 4: Simplify right side
    480.84x = 299,566.42
  5. Step 5: Solve for x
    x = 299,566.42/480.84
  6. Step 6: Final answer
    x = 623.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.