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Finding the Fourth Proportional to 1,746.35, 2,618.51 and 705.50

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Solution

The fourth proportional to 1,746.35, 2,618.51 and 705.50 is: 1,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.35 : 2,618.51 = 705.50 : x
  2. Step 2: Convert to fraction form
    1,746.35/2,618.51 = 705.50/x
  3. Step 3: Cross multiply
    1,746.35x = 2,618.51 × 705.50
  4. Step 4: Simplify right side
    1,746.35x = 1,847,342.18
  5. Step 5: Solve for x
    x = 1,847,342.18/1,746.35
  6. Step 6: Final answer
    x = 1,057.83

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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.