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Finding the Fourth Proportional to 1,623.76, 2,435.78 and 686.52

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Solution

The fourth proportional to 1,623.76, 2,435.78 and 686.52 is: 1,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.76 : 2,435.78 = 686.52 : x
  2. Step 2: Convert to fraction form
    1,623.76/2,435.78 = 686.52/x
  3. Step 3: Cross multiply
    1,623.76x = 2,435.78 × 686.52
  4. Step 4: Simplify right side
    1,623.76x = 1,672,211.69
  5. Step 5: Solve for x
    x = 1,672,211.69/1,623.76
  6. Step 6: Final answer
    x = 1,029.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.