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Finding the Fourth Proportional to 931.00, 1,396.60 and 410.78

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Solution

The fourth proportional to 931.00, 1,396.60 and 410.78 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.00 : 1,396.60 = 410.78 : x
  2. Step 2: Convert to fraction form
    931.00/1,396.60 = 410.78/x
  3. Step 3: Cross multiply
    931.00x = 1,396.60 × 410.78
  4. Step 4: Simplify right side
    931.00x = 573,688.37
  5. Step 5: Solve for x
    x = 573,688.37/931.00
  6. Step 6: Final answer
    x = 616.21

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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.