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Finding the Fourth Proportional to 930.21, 1,395.48 and 382.78

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Solution

The fourth proportional to 930.21, 1,395.48 and 382.78 is: 574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.21 : 1,395.48 = 382.78 : x
  2. Step 2: Convert to fraction form
    930.21/1,395.48 = 382.78/x
  3. Step 3: Cross multiply
    930.21x = 1,395.48 × 382.78
  4. Step 4: Simplify right side
    930.21x = 534,161.83
  5. Step 5: Solve for x
    x = 534,161.83/930.21
  6. Step 6: Final answer
    x = 574.24

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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.