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Finding the Fourth Proportional to 584.68, 873.68 and 445.09

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Solution

The fourth proportional to 584.68, 873.68 and 445.09 is: 665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.68 : 873.68 = 445.09 : x
  2. Step 2: Convert to fraction form
    584.68/873.68 = 445.09/x
  3. Step 3: Cross multiply
    584.68x = 873.68 × 445.09
  4. Step 4: Simplify right side
    584.68x = 388,866.23
  5. Step 5: Solve for x
    x = 388,866.23/584.68
  6. Step 6: Final answer
    x = 665.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.