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Finding the Fourth Proportional to 931, 1,284.78 and 517

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Solution

The fourth proportional to 931, 1,284.78 and 517 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931 : 1,284.78 = 517 : x
  2. Step 2: Convert to fraction form
    931/1,284.78 = 517/x
  3. Step 3: Cross multiply
    931x = 1,284.78 × 517
  4. Step 4: Simplify right side
    931x = 664,231.26
  5. Step 5: Solve for x
    x = 664,231.26/931
  6. Step 6: Final answer
    x = 713.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.