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Finding the Fourth Proportional to 1,728.73, 2,590.80 and 753.76

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Solution

The fourth proportional to 1,728.73, 2,590.80 and 753.76 is: 1,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.73 : 2,590.80 = 753.76 : x
  2. Step 2: Convert to fraction form
    1,728.73/2,590.80 = 753.76/x
  3. Step 3: Cross multiply
    1,728.73x = 2,590.80 × 753.76
  4. Step 4: Simplify right side
    1,728.73x = 1,952,841.41
  5. Step 5: Solve for x
    x = 1,952,841.41/1,728.73
  6. Step 6: Final answer
    x = 1,129.64

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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.