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Finding the Fourth Proportional to 1,729.40, 2,594.06 and 496.78

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Solution

The fourth proportional to 1,729.40, 2,594.06 and 496.78 is: 745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.40 : 2,594.06 = 496.78 : x
  2. Step 2: Convert to fraction form
    1,729.40/2,594.06 = 496.78/x
  3. Step 3: Cross multiply
    1,729.40x = 2,594.06 × 496.78
  4. Step 4: Simplify right side
    1,729.40x = 1,288,677.13
  5. Step 5: Solve for x
    x = 1,288,677.13/1,729.40
  6. Step 6: Final answer
    x = 745.16

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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.