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Finding the Fourth Proportional to 929.45, 1,393.09 and 683.70

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Solution

The fourth proportional to 929.45, 1,393.09 and 683.70 is: 1,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.45 : 1,393.09 = 683.70 : x
  2. Step 2: Convert to fraction form
    929.45/1,393.09 = 683.70/x
  3. Step 3: Cross multiply
    929.45x = 1,393.09 × 683.70
  4. Step 4: Simplify right side
    929.45x = 952,455.63
  5. Step 5: Solve for x
    x = 952,455.63/929.45
  6. Step 6: Final answer
    x = 1,024.75

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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.