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Finding the Fourth Proportional to 449.34, 677.46 and 418.02

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Solution

The fourth proportional to 449.34, 677.46 and 418.02 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 677.46 = 418.02 : x
  2. Step 2: Convert to fraction form
    449.34/677.46 = 418.02/x
  3. Step 3: Cross multiply
    449.34x = 677.46 × 418.02
  4. Step 4: Simplify right side
    449.34x = 283,191.83
  5. Step 5: Solve for x
    x = 283,191.83/449.34
  6. Step 6: Final answer
    x = 630.24

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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.