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Finding the Fourth Proportional to 1,695.56, 2,543.39 and 541.31

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Solution

The fourth proportional to 1,695.56, 2,543.39 and 541.31 is: 811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.56 : 2,543.39 = 541.31 : x
  2. Step 2: Convert to fraction form
    1,695.56/2,543.39 = 541.31/x
  3. Step 3: Cross multiply
    1,695.56x = 2,543.39 × 541.31
  4. Step 4: Simplify right side
    1,695.56x = 1,376,768.12
  5. Step 5: Solve for x
    x = 1,376,768.12/1,695.56
  6. Step 6: Final answer
    x = 811.98

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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.