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Finding the Fourth Proportional to 455.40, 631.39 and 446.49

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Solution

The fourth proportional to 455.40, 631.39 and 446.49 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.40 : 631.39 = 446.49 : x
  2. Step 2: Convert to fraction form
    455.40/631.39 = 446.49/x
  3. Step 3: Cross multiply
    455.40x = 631.39 × 446.49
  4. Step 4: Simplify right side
    455.40x = 281,909.32
  5. Step 5: Solve for x
    x = 281,909.32/455.40
  6. Step 6: Final answer
    x = 619.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.