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Finding the Fourth Proportional to 1,538.67, 2,308.20 and 564.63

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Solution

The fourth proportional to 1,538.67, 2,308.20 and 564.63 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.67 : 2,308.20 = 564.63 : x
  2. Step 2: Convert to fraction form
    1,538.67/2,308.20 = 564.63/x
  3. Step 3: Cross multiply
    1,538.67x = 2,308.20 × 564.63
  4. Step 4: Simplify right side
    1,538.67x = 1,303,278.97
  5. Step 5: Solve for x
    x = 1,303,278.97/1,538.67
  6. Step 6: Final answer
    x = 847.02

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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.