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Finding the Fourth Proportional to 1,695.09, 2,542.05 and 805.52

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Solution

The fourth proportional to 1,695.09, 2,542.05 and 805.52 is: 1,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.09 : 2,542.05 = 805.52 : x
  2. Step 2: Convert to fraction form
    1,695.09/2,542.05 = 805.52/x
  3. Step 3: Cross multiply
    1,695.09x = 2,542.05 × 805.52
  4. Step 4: Simplify right side
    1,695.09x = 2,047,672.12
  5. Step 5: Solve for x
    x = 2,047,672.12/1,695.09
  6. Step 6: Final answer
    x = 1,208.00

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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.