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Finding the Fourth Proportional to 929.67, 1,282.41 and 579.75

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Solution

The fourth proportional to 929.67, 1,282.41 and 579.75 is: 799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.67 : 1,282.41 = 579.75 : x
  2. Step 2: Convert to fraction form
    929.67/1,282.41 = 579.75/x
  3. Step 3: Cross multiply
    929.67x = 1,282.41 × 579.75
  4. Step 4: Simplify right side
    929.67x = 743,477.20
  5. Step 5: Solve for x
    x = 743,477.20/929.67
  6. Step 6: Final answer
    x = 799.72

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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.