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Finding the Fourth Proportional to 1,375.79, 2,063.75 and 553.95

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Solution

The fourth proportional to 1,375.79, 2,063.75 and 553.95 is: 830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.79 : 2,063.75 = 553.95 : x
  2. Step 2: Convert to fraction form
    1,375.79/2,063.75 = 553.95/x
  3. Step 3: Cross multiply
    1,375.79x = 2,063.75 × 553.95
  4. Step 4: Simplify right side
    1,375.79x = 1,143,205.74
  5. Step 5: Solve for x
    x = 1,143,205.74/1,375.79
  6. Step 6: Final answer
    x = 830.95

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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.