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Finding the Fourth Proportional to 1,750.30, 2,624.16 and 884

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Solution

The fourth proportional to 1,750.30, 2,624.16 and 884 is: 1,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.30 : 2,624.16 = 884 : x
  2. Step 2: Convert to fraction form
    1,750.30/2,624.16 = 884/x
  3. Step 3: Cross multiply
    1,750.30x = 2,624.16 × 884
  4. Step 4: Simplify right side
    1,750.30x = 2,319,757.44
  5. Step 5: Solve for x
    x = 2,319,757.44/1,750.30
  6. Step 6: Final answer
    x = 1,325.35

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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.