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Finding the Fourth Proportional to 645, 890.46 and 448.77

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Solution

The fourth proportional to 645, 890.46 and 448.77 is: 619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    645 : 890.46 = 448.77 : x
  2. Step 2: Convert to fraction form
    645/890.46 = 448.77/x
  3. Step 3: Cross multiply
    645x = 890.46 × 448.77
  4. Step 4: Simplify right side
    645x = 399,611.73
  5. Step 5: Solve for x
    x = 399,611.73/645
  6. Step 6: Final answer
    x = 619.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.