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Finding the Fourth Proportional to 931.37, 1,395.25 and 519.25

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Solution

The fourth proportional to 931.37, 1,395.25 and 519.25 is: 777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.37 : 1,395.25 = 519.25 : x
  2. Step 2: Convert to fraction form
    931.37/1,395.25 = 519.25/x
  3. Step 3: Cross multiply
    931.37x = 1,395.25 × 519.25
  4. Step 4: Simplify right side
    931.37x = 724,480.97
  5. Step 5: Solve for x
    x = 724,480.97/931.37
  6. Step 6: Final answer
    x = 777.87

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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.