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Finding the Fourth Proportional to 931.74, 1,396.24 and 411.27

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Solution

The fourth proportional to 931.74, 1,396.24 and 411.27 is: 616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.74 : 1,396.24 = 411.27 : x
  2. Step 2: Convert to fraction form
    931.74/1,396.24 = 411.27/x
  3. Step 3: Cross multiply
    931.74x = 1,396.24 × 411.27
  4. Step 4: Simplify right side
    931.74x = 574,225.36
  5. Step 5: Solve for x
    x = 574,225.36/931.74
  6. Step 6: Final answer
    x = 616.30

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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.