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Finding the Fourth Proportional to 920.78, 1,380.72 and 335.76

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Solution

The fourth proportional to 920.78, 1,380.72 and 335.76 is: 503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.78 : 1,380.72 = 335.76 : x
  2. Step 2: Convert to fraction form
    920.78/1,380.72 = 335.76/x
  3. Step 3: Cross multiply
    920.78x = 1,380.72 × 335.76
  4. Step 4: Simplify right side
    920.78x = 463,586.63
  5. Step 5: Solve for x
    x = 463,586.63/920.78
  6. Step 6: Final answer
    x = 503.47

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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.