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Finding the Fourth Proportional to 1,305.20, 1,956.29 and 564.59

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Solution

The fourth proportional to 1,305.20, 1,956.29 and 564.59 is: 846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.20 : 1,956.29 = 564.59 : x
  2. Step 2: Convert to fraction form
    1,305.20/1,956.29 = 564.59/x
  3. Step 3: Cross multiply
    1,305.20x = 1,956.29 × 564.59
  4. Step 4: Simplify right side
    1,305.20x = 1,104,489.17
  5. Step 5: Solve for x
    x = 1,104,489.17/1,305.20
  6. Step 6: Final answer
    x = 846.23

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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.