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Finding the Fourth Proportional to 931.94, 1,396.08 and 519.83

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Solution

The fourth proportional to 931.94, 1,396.08 and 519.83 is: 778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.94 : 1,396.08 = 519.83 : x
  2. Step 2: Convert to fraction form
    931.94/1,396.08 = 519.83/x
  3. Step 3: Cross multiply
    931.94x = 1,396.08 × 519.83
  4. Step 4: Simplify right side
    931.94x = 725,714.69
  5. Step 5: Solve for x
    x = 725,714.69/931.94
  6. Step 6: Final answer
    x = 778.72

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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.