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Finding the Fourth Proportional to 449.80, 670.86 and 442.00

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Solution

The fourth proportional to 449.80, 670.86 and 442.00 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.80 : 670.86 = 442.00 : x
  2. Step 2: Convert to fraction form
    449.80/670.86 = 442.00/x
  3. Step 3: Cross multiply
    449.80x = 670.86 × 442.00
  4. Step 4: Simplify right side
    449.80x = 296,520.96
  5. Step 5: Solve for x
    x = 296,520.96/449.80
  6. Step 6: Final answer
    x = 659.23

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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.