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Finding the Fourth Proportional to 1,750.70, 2,626.05 and 982.70

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Solution

The fourth proportional to 1,750.70, 2,626.05 and 982.70 is: 1,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.70 : 2,626.05 = 982.70 : x
  2. Step 2: Convert to fraction form
    1,750.70/2,626.05 = 982.70/x
  3. Step 3: Cross multiply
    1,750.70x = 2,626.05 × 982.70
  4. Step 4: Simplify right side
    1,750.70x = 2,580,619.34
  5. Step 5: Solve for x
    x = 2,580,619.34/1,750.70
  6. Step 6: Final answer
    x = 1,474.05

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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.