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Finding the Fourth Proportional to 930.79, 1,396.18 and 382.84

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Solution

The fourth proportional to 930.79, 1,396.18 and 382.84 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.79 : 1,396.18 = 382.84 : x
  2. Step 2: Convert to fraction form
    930.79/1,396.18 = 382.84/x
  3. Step 3: Cross multiply
    930.79x = 1,396.18 × 382.84
  4. Step 4: Simplify right side
    930.79x = 534,513.55
  5. Step 5: Solve for x
    x = 534,513.55/930.79
  6. Step 6: Final answer
    x = 574.26

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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.