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Finding the Fourth Proportional to 1,703.59, 2,554.31 and 765.61

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Solution

The fourth proportional to 1,703.59, 2,554.31 and 765.61 is: 1,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.59 : 2,554.31 = 765.61 : x
  2. Step 2: Convert to fraction form
    1,703.59/2,554.31 = 765.61/x
  3. Step 3: Cross multiply
    1,703.59x = 2,554.31 × 765.61
  4. Step 4: Simplify right side
    1,703.59x = 1,955,600.81
  5. Step 5: Solve for x
    x = 1,955,600.81/1,703.59
  6. Step 6: Final answer
    x = 1,147.93

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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.