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Finding the Fourth Proportional to 917.45, 1,375.90 and 448.63

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Solution

The fourth proportional to 917.45, 1,375.90 and 448.63 is: 672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.45 : 1,375.90 = 448.63 : x
  2. Step 2: Convert to fraction form
    917.45/1,375.90 = 448.63/x
  3. Step 3: Cross multiply
    917.45x = 1,375.90 × 448.63
  4. Step 4: Simplify right side
    917.45x = 617,265.46
  5. Step 5: Solve for x
    x = 617,265.46/917.45
  6. Step 6: Final answer
    x = 672.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.