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Finding the Fourth Proportional to 1,415.60, 2,123.82 and 675.78

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Solution

The fourth proportional to 1,415.60, 2,123.82 and 675.78 is: 1,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.60 : 2,123.82 = 675.78 : x
  2. Step 2: Convert to fraction form
    1,415.60/2,123.82 = 675.78/x
  3. Step 3: Cross multiply
    1,415.60x = 2,123.82 × 675.78
  4. Step 4: Simplify right side
    1,415.60x = 1,435,235.08
  5. Step 5: Solve for x
    x = 1,435,235.08/1,415.60
  6. Step 6: Final answer
    x = 1,013.87

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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.