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Finding the Fourth Proportional to 1,745.61, 2,616.45 and 634.56

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Solution

The fourth proportional to 1,745.61, 2,616.45 and 634.56 is: 951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.61 : 2,616.45 = 634.56 : x
  2. Step 2: Convert to fraction form
    1,745.61/2,616.45 = 634.56/x
  3. Step 3: Cross multiply
    1,745.61x = 2,616.45 × 634.56
  4. Step 4: Simplify right side
    1,745.61x = 1,660,294.51
  5. Step 5: Solve for x
    x = 1,660,294.51/1,745.61
  6. Step 6: Final answer
    x = 951.13

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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.