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Finding the Fourth Proportional to 1,060.76, 1,584.53 and 905.96

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Solution

The fourth proportional to 1,060.76, 1,584.53 and 905.96 is: 1,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.76 : 1,584.53 = 905.96 : x
  2. Step 2: Convert to fraction form
    1,060.76/1,584.53 = 905.96/x
  3. Step 3: Cross multiply
    1,060.76x = 1,584.53 × 905.96
  4. Step 4: Simplify right side
    1,060.76x = 1,435,520.80
  5. Step 5: Solve for x
    x = 1,435,520.80/1,060.76
  6. Step 6: Final answer
    x = 1,353.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.