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Finding the Fourth Proportional to 1,538.24, 2,308.37 and 564.35

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Solution

The fourth proportional to 1,538.24, 2,308.37 and 564.35 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.24 : 2,308.37 = 564.35 : x
  2. Step 2: Convert to fraction form
    1,538.24/2,308.37 = 564.35/x
  3. Step 3: Cross multiply
    1,538.24x = 2,308.37 × 564.35
  4. Step 4: Simplify right side
    1,538.24x = 1,302,714.25
  5. Step 5: Solve for x
    x = 1,302,714.25/1,538.24
  6. Step 6: Final answer
    x = 846.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.