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Finding the Fourth Proportional to 1,732.88, 2,597.07 and 1,320.50

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Solution

The fourth proportional to 1,732.88, 2,597.07 and 1,320.50 is: 1,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.88 : 2,597.07 = 1,320.50 : x
  2. Step 2: Convert to fraction form
    1,732.88/2,597.07 = 1,320.50/x
  3. Step 3: Cross multiply
    1,732.88x = 2,597.07 × 1,320.50
  4. Step 4: Simplify right side
    1,732.88x = 3,429,430.94
  5. Step 5: Solve for x
    x = 3,429,430.94/1,732.88
  6. Step 6: Final answer
    x = 1,979.04

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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.