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Finding the Fourth Proportional to 920.85, 1,381.48 and 304.53

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Solution

The fourth proportional to 920.85, 1,381.48 and 304.53 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.85 : 1,381.48 = 304.53 : x
  2. Step 2: Convert to fraction form
    920.85/1,381.48 = 304.53/x
  3. Step 3: Cross multiply
    920.85x = 1,381.48 × 304.53
  4. Step 4: Simplify right side
    920.85x = 420,696.16
  5. Step 5: Solve for x
    x = 420,696.16/920.85
  6. Step 6: Final answer
    x = 456.86

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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.