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Finding the Fourth Proportional to 460.21, 689.50 and 408.55

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Solution

The fourth proportional to 460.21, 689.50 and 408.55 is: 612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.21 : 689.50 = 408.55 : x
  2. Step 2: Convert to fraction form
    460.21/689.50 = 408.55/x
  3. Step 3: Cross multiply
    460.21x = 689.50 × 408.55
  4. Step 4: Simplify right side
    460.21x = 281,695.23
  5. Step 5: Solve for x
    x = 281,695.23/460.21
  6. Step 6: Final answer
    x = 612.10

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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.