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Finding the Fourth Proportional to 1,563.12, 2,343.36 and 685.47

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Solution

The fourth proportional to 1,563.12, 2,343.36 and 685.47 is: 1,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.12 : 2,343.36 = 685.47 : x
  2. Step 2: Convert to fraction form
    1,563.12/2,343.36 = 685.47/x
  3. Step 3: Cross multiply
    1,563.12x = 2,343.36 × 685.47
  4. Step 4: Simplify right side
    1,563.12x = 1,606,302.98
  5. Step 5: Solve for x
    x = 1,606,302.98/1,563.12
  6. Step 6: Final answer
    x = 1,027.63

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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.