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Finding the Fourth Proportional to 1,750.97, 2,626.52 and 814.79

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Solution

The fourth proportional to 1,750.97, 2,626.52 and 814.79 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.97 : 2,626.52 = 814.79 : x
  2. Step 2: Convert to fraction form
    1,750.97/2,626.52 = 814.79/x
  3. Step 3: Cross multiply
    1,750.97x = 2,626.52 × 814.79
  4. Step 4: Simplify right side
    1,750.97x = 2,140,045.02
  5. Step 5: Solve for x
    x = 2,140,045.02/1,750.97
  6. Step 6: Final answer
    x = 1,222.21

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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.