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Finding the Fourth Proportional to 1,305.45, 1,956.79 and 611.53

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Solution

The fourth proportional to 1,305.45, 1,956.79 and 611.53 is: 916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.45 : 1,956.79 = 611.53 : x
  2. Step 2: Convert to fraction form
    1,305.45/1,956.79 = 611.53/x
  3. Step 3: Cross multiply
    1,305.45x = 1,956.79 × 611.53
  4. Step 4: Simplify right side
    1,305.45x = 1,196,635.79
  5. Step 5: Solve for x
    x = 1,196,635.79/1,305.45
  6. Step 6: Final answer
    x = 916.65

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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.