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Finding the Fourth Proportional to 1,588.25, 2,380.77 and 547.90

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Solution

The fourth proportional to 1,588.25, 2,380.77 and 547.90 is: 821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.25 : 2,380.77 = 547.90 : x
  2. Step 2: Convert to fraction form
    1,588.25/2,380.77 = 547.90/x
  3. Step 3: Cross multiply
    1,588.25x = 2,380.77 × 547.90
  4. Step 4: Simplify right side
    1,588.25x = 1,304,423.88
  5. Step 5: Solve for x
    x = 1,304,423.88/1,588.25
  6. Step 6: Final answer
    x = 821.30

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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.