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Finding the Fourth Proportional to 673.70, 930.02 and 450.23

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Solution

The fourth proportional to 673.70, 930.02 and 450.23 is: 621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.70 : 930.02 = 450.23 : x
  2. Step 2: Convert to fraction form
    673.70/930.02 = 450.23/x
  3. Step 3: Cross multiply
    673.70x = 930.02 × 450.23
  4. Step 4: Simplify right side
    673.70x = 418,716.00
  5. Step 5: Solve for x
    x = 418,716.00/673.70
  6. Step 6: Final answer
    x = 621.52

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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.