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Finding the Fourth Proportional to 1,729.40, 2,594.53 and 496.89

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Solution

The fourth proportional to 1,729.40, 2,594.53 and 496.89 is: 745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.40 : 2,594.53 = 496.89 : x
  2. Step 2: Convert to fraction form
    1,729.40/2,594.53 = 496.89/x
  3. Step 3: Cross multiply
    1,729.40x = 2,594.53 × 496.89
  4. Step 4: Simplify right side
    1,729.40x = 1,289,203.93
  5. Step 5: Solve for x
    x = 1,289,203.93/1,729.40
  6. Step 6: Final answer
    x = 745.46

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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.