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Finding the Fourth Proportional to 926.09, 1,384.91 and 691.99

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Solution

The fourth proportional to 926.09, 1,384.91 and 691.99 is: 1,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.09 : 1,384.91 = 691.99 : x
  2. Step 2: Convert to fraction form
    926.09/1,384.91 = 691.99/x
  3. Step 3: Cross multiply
    926.09x = 1,384.91 × 691.99
  4. Step 4: Simplify right side
    926.09x = 958,343.87
  5. Step 5: Solve for x
    x = 958,343.87/926.09
  6. Step 6: Final answer
    x = 1,034.83

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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.