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Finding the Fourth Proportional to 1,704.42, 2,555.60 and 534.12

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Solution

The fourth proportional to 1,704.42, 2,555.60 and 534.12 is: 800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.42 : 2,555.60 = 534.12 : x
  2. Step 2: Convert to fraction form
    1,704.42/2,555.60 = 534.12/x
  3. Step 3: Cross multiply
    1,704.42x = 2,555.60 × 534.12
  4. Step 4: Simplify right side
    1,704.42x = 1,364,997.07
  5. Step 5: Solve for x
    x = 1,364,997.07/1,704.42
  6. Step 6: Final answer
    x = 800.86

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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.