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Finding the Fourth Proportional to 929.78, 1,391.48 and 698.09

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Solution

The fourth proportional to 929.78, 1,391.48 and 698.09 is: 1,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.78 : 1,391.48 = 698.09 : x
  2. Step 2: Convert to fraction form
    929.78/1,391.48 = 698.09/x
  3. Step 3: Cross multiply
    929.78x = 1,391.48 × 698.09
  4. Step 4: Simplify right side
    929.78x = 971,382.18
  5. Step 5: Solve for x
    x = 971,382.18/929.78
  6. Step 6: Final answer
    x = 1,044.75

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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.