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Finding the Fourth Proportional to 1,689.54, 2,534.57 and 765.08

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Solution

The fourth proportional to 1,689.54, 2,534.57 and 765.08 is: 1,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.54 : 2,534.57 = 765.08 : x
  2. Step 2: Convert to fraction form
    1,689.54/2,534.57 = 765.08/x
  3. Step 3: Cross multiply
    1,689.54x = 2,534.57 × 765.08
  4. Step 4: Simplify right side
    1,689.54x = 1,939,132.32
  5. Step 5: Solve for x
    x = 1,939,132.32/1,689.54
  6. Step 6: Final answer
    x = 1,147.73

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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.