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Finding the Fourth Proportional to 931.97, 1,398.63 and 541.45

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Solution

The fourth proportional to 931.97, 1,398.63 and 541.45 is: 812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.97 : 1,398.63 = 541.45 : x
  2. Step 2: Convert to fraction form
    931.97/1,398.63 = 541.45/x
  3. Step 3: Cross multiply
    931.97x = 1,398.63 × 541.45
  4. Step 4: Simplify right side
    931.97x = 757,288.21
  5. Step 5: Solve for x
    x = 757,288.21/931.97
  6. Step 6: Final answer
    x = 812.57

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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.