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Finding the Fourth Proportional to 449.80, 617.06 and 421.86

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Solution

The fourth proportional to 449.80, 617.06 and 421.86 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.80 : 617.06 = 421.86 : x
  2. Step 2: Convert to fraction form
    449.80/617.06 = 421.86/x
  3. Step 3: Cross multiply
    449.80x = 617.06 × 421.86
  4. Step 4: Simplify right side
    449.80x = 260,312.93
  5. Step 5: Solve for x
    x = 260,312.93/449.80
  6. Step 6: Final answer
    x = 578.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.