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Finding the Fourth Proportional to 1,438.68, 2,156.07 and 615.96

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Solution

The fourth proportional to 1,438.68, 2,156.07 and 615.96 is: 923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.68 : 2,156.07 = 615.96 : x
  2. Step 2: Convert to fraction form
    1,438.68/2,156.07 = 615.96/x
  3. Step 3: Cross multiply
    1,438.68x = 2,156.07 × 615.96
  4. Step 4: Simplify right side
    1,438.68x = 1,328,052.88
  5. Step 5: Solve for x
    x = 1,328,052.88/1,438.68
  6. Step 6: Final answer
    x = 923.11

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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.