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Finding the Fourth Proportional to 2,709.58, 4,064.38 and 657.58

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Solution

The fourth proportional to 2,709.58, 4,064.38 and 657.58 is: 986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.58 : 4,064.38 = 657.58 : x
  2. Step 2: Convert to fraction form
    2,709.58/4,064.38 = 657.58/x
  3. Step 3: Cross multiply
    2,709.58x = 4,064.38 × 657.58
  4. Step 4: Simplify right side
    2,709.58x = 2,672,655.00
  5. Step 5: Solve for x
    x = 2,672,655.00/2,709.58
  6. Step 6: Final answer
    x = 986.37

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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.