Home / 1,746.30-2,618.49-705.45

Finding the Fourth Proportional to 1,746.30, 2,618.49 and 705.45

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Solution

The fourth proportional to 1,746.30, 2,618.49 and 705.45 is: 1,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.30 : 2,618.49 = 705.45 : x
  2. Step 2: Convert to fraction form
    1,746.30/2,618.49 = 705.45/x
  3. Step 3: Cross multiply
    1,746.30x = 2,618.49 × 705.45
  4. Step 4: Simplify right side
    1,746.30x = 1,847,213.77
  5. Step 5: Solve for x
    x = 1,847,213.77/1,746.30
  6. Step 6: Final answer
    x = 1,057.79

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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.