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Finding the Fourth Proportional to 920.49, 1,380.70 and 304.18

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Solution

The fourth proportional to 920.49, 1,380.70 and 304.18 is: 456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.49 : 1,380.70 = 304.18 : x
  2. Step 2: Convert to fraction form
    920.49/1,380.70 = 304.18/x
  3. Step 3: Cross multiply
    920.49x = 1,380.70 × 304.18
  4. Step 4: Simplify right side
    920.49x = 419,972.90
  5. Step 5: Solve for x
    x = 419,972.90/920.49
  6. Step 6: Final answer
    x = 456.25

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1.5x scale

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.