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Finding the Fourth Proportional to 675.73, 1,013.60 and 328.99

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Solution

The fourth proportional to 675.73, 1,013.60 and 328.99 is: 493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.73 : 1,013.60 = 328.99 : x
  2. Step 2: Convert to fraction form
    675.73/1,013.60 = 328.99/x
  3. Step 3: Cross multiply
    675.73x = 1,013.60 × 328.99
  4. Step 4: Simplify right side
    675.73x = 333,464.26
  5. Step 5: Solve for x
    x = 333,464.26/675.73
  6. Step 6: Final answer
    x = 493.49

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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.