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Finding the Fourth Proportional to 1,438.70, 2,156.27 and 616.01

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Solution

The fourth proportional to 1,438.70, 2,156.27 and 616.01 is: 923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.70 : 2,156.27 = 616.01 : x
  2. Step 2: Convert to fraction form
    1,438.70/2,156.27 = 616.01/x
  3. Step 3: Cross multiply
    1,438.70x = 2,156.27 × 616.01
  4. Step 4: Simplify right side
    1,438.70x = 1,328,270.02
  5. Step 5: Solve for x
    x = 1,328,270.02/1,438.70
  6. Step 6: Final answer
    x = 923.25

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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.