Home / 1,538.14-2,308.11-564.31

Finding the Fourth Proportional to 1,538.14, 2,308.11 and 564.31

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Solution

The fourth proportional to 1,538.14, 2,308.11 and 564.31 is: 846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.14 : 2,308.11 = 564.31 : x
  2. Step 2: Convert to fraction form
    1,538.14/2,308.11 = 564.31/x
  3. Step 3: Cross multiply
    1,538.14x = 2,308.11 × 564.31
  4. Step 4: Simplify right side
    1,538.14x = 1,302,489.55
  5. Step 5: Solve for x
    x = 1,302,489.55/1,538.14
  6. Step 6: Final answer
    x = 846.80

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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.