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Finding the Fourth Proportional to 1,750.55, 2,625.83 and 823.47

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Solution

The fourth proportional to 1,750.55, 2,625.83 and 823.47 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.55 : 2,625.83 = 823.47 : x
  2. Step 2: Convert to fraction form
    1,750.55/2,625.83 = 823.47/x
  3. Step 3: Cross multiply
    1,750.55x = 2,625.83 × 823.47
  4. Step 4: Simplify right side
    1,750.55x = 2,162,288.11
  5. Step 5: Solve for x
    x = 2,162,288.11/1,750.55
  6. Step 6: Final answer
    x = 1,235.21

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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.