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Finding the Fourth Proportional to 753.78, 1,130.49 and 205.85

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Solution

The fourth proportional to 753.78, 1,130.49 and 205.85 is: 308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.78 : 1,130.49 = 205.85 : x
  2. Step 2: Convert to fraction form
    753.78/1,130.49 = 205.85/x
  3. Step 3: Cross multiply
    753.78x = 1,130.49 × 205.85
  4. Step 4: Simplify right side
    753.78x = 232,705.71
  5. Step 5: Solve for x
    x = 232,705.71/753.78
  6. Step 6: Final answer
    x = 308.72

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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.