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Finding the Fourth Proportional to 929.86, 1,282.08 and 579.94

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Solution

The fourth proportional to 929.86, 1,282.08 and 579.94 is: 799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.86 : 1,282.08 = 579.94 : x
  2. Step 2: Convert to fraction form
    929.86/1,282.08 = 579.94/x
  3. Step 3: Cross multiply
    929.86x = 1,282.08 × 579.94
  4. Step 4: Simplify right side
    929.86x = 743,529.48
  5. Step 5: Solve for x
    x = 743,529.48/929.86
  6. Step 6: Final answer
    x = 799.61

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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.