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Finding the Fourth Proportional to 1,660.78, 2,491.86 and 564.55

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Solution

The fourth proportional to 1,660.78, 2,491.86 and 564.55 is: 847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.78 : 2,491.86 = 564.55 : x
  2. Step 2: Convert to fraction form
    1,660.78/2,491.86 = 564.55/x
  3. Step 3: Cross multiply
    1,660.78x = 2,491.86 × 564.55
  4. Step 4: Simplify right side
    1,660.78x = 1,406,779.56
  5. Step 5: Solve for x
    x = 1,406,779.56/1,660.78
  6. Step 6: Final answer
    x = 847.06

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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.