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Finding the Fourth Proportional to 1,745.83, 2,618.78 and 429.59

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Solution

The fourth proportional to 1,745.83, 2,618.78 and 429.59 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.83 : 2,618.78 = 429.59 : x
  2. Step 2: Convert to fraction form
    1,745.83/2,618.78 = 429.59/x
  3. Step 3: Cross multiply
    1,745.83x = 2,618.78 × 429.59
  4. Step 4: Simplify right side
    1,745.83x = 1,124,997.49
  5. Step 5: Solve for x
    x = 1,124,997.49/1,745.83
  6. Step 6: Final answer
    x = 644.39

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1.5x scale

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.