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Finding the Fourth Proportional to 1,750.48, 2,626.19 and 580.57

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Solution

The fourth proportional to 1,750.48, 2,626.19 and 580.57 is: 871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.48 : 2,626.19 = 580.57 : x
  2. Step 2: Convert to fraction form
    1,750.48/2,626.19 = 580.57/x
  3. Step 3: Cross multiply
    1,750.48x = 2,626.19 × 580.57
  4. Step 4: Simplify right side
    1,750.48x = 1,524,679.84
  5. Step 5: Solve for x
    x = 1,524,679.84/1,750.48
  6. Step 6: Final answer
    x = 871.01

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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.