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Finding the Fourth Proportional to 675.37, 929.87 and 576.73

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Solution

The fourth proportional to 675.37, 929.87 and 576.73 is: 794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.37 : 929.87 = 576.73 : x
  2. Step 2: Convert to fraction form
    675.37/929.87 = 576.73/x
  3. Step 3: Cross multiply
    675.37x = 929.87 × 576.73
  4. Step 4: Simplify right side
    675.37x = 536,281.04
  5. Step 5: Solve for x
    x = 536,281.04/675.37
  6. Step 6: Final answer
    x = 794.06

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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.