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Finding the Fourth Proportional to 920.60, 1,380.95 and 304.30

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Solution

The fourth proportional to 920.60, 1,380.95 and 304.30 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.60 : 1,380.95 = 304.30 : x
  2. Step 2: Convert to fraction form
    920.60/1,380.95 = 304.30/x
  3. Step 3: Cross multiply
    920.60x = 1,380.95 × 304.30
  4. Step 4: Simplify right side
    920.60x = 420,223.09
  5. Step 5: Solve for x
    x = 420,223.09/920.60
  6. Step 6: Final answer
    x = 456.47

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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.