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Finding the Fourth Proportional to 1,591, 2,385.68 and 666.76

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Solution

The fourth proportional to 1,591, 2,385.68 and 666.76 is: 999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591 : 2,385.68 = 666.76 : x
  2. Step 2: Convert to fraction form
    1,591/2,385.68 = 666.76/x
  3. Step 3: Cross multiply
    1,591x = 2,385.68 × 666.76
  4. Step 4: Simplify right side
    1,591x = 1,590,676.00
  5. Step 5: Solve for x
    x = 1,590,676.00/1,591
  6. Step 6: Final answer
    x = 999.80

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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.