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Finding the Fourth Proportional to 929.98, 1,391.41 and 813.57

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Solution

The fourth proportional to 929.98, 1,391.41 and 813.57 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.98 : 1,391.41 = 813.57 : x
  2. Step 2: Convert to fraction form
    929.98/1,391.41 = 813.57/x
  3. Step 3: Cross multiply
    929.98x = 1,391.41 × 813.57
  4. Step 4: Simplify right side
    929.98x = 1,132,009.43
  5. Step 5: Solve for x
    x = 1,132,009.43/929.98
  6. Step 6: Final answer
    x = 1,217.24

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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.