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Finding the Fourth Proportional to 930.78, 1,395.86 and 382.71

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Solution

The fourth proportional to 930.78, 1,395.86 and 382.71 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,395.86 = 382.71 : x
  2. Step 2: Convert to fraction form
    930.78/1,395.86 = 382.71/x
  3. Step 3: Cross multiply
    930.78x = 1,395.86 × 382.71
  4. Step 4: Simplify right side
    930.78x = 534,207.67
  5. Step 5: Solve for x
    x = 534,207.67/930.78
  6. Step 6: Final answer
    x = 573.94

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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.