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Finding the Fourth Proportional to 675.24, 929.88 and 576.96

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Solution

The fourth proportional to 675.24, 929.88 and 576.96 is: 794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 929.88 = 576.96 : x
  2. Step 2: Convert to fraction form
    675.24/929.88 = 576.96/x
  3. Step 3: Cross multiply
    675.24x = 929.88 × 576.96
  4. Step 4: Simplify right side
    675.24x = 536,503.56
  5. Step 5: Solve for x
    x = 536,503.56/675.24
  6. Step 6: Final answer
    x = 794.54

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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.