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Finding the Fourth Proportional to 458.68, 690.35 and 413.96

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Solution

The fourth proportional to 458.68, 690.35 and 413.96 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 690.35 = 413.96 : x
  2. Step 2: Convert to fraction form
    458.68/690.35 = 413.96/x
  3. Step 3: Cross multiply
    458.68x = 690.35 × 413.96
  4. Step 4: Simplify right side
    458.68x = 285,777.29
  5. Step 5: Solve for x
    x = 285,777.29/458.68
  6. Step 6: Final answer
    x = 623.04

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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.