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Finding the Fourth Proportional to 1,647.31, 2,468.37 and 605.88

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Solution

The fourth proportional to 1,647.31, 2,468.37 and 605.88 is: 907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.31 : 2,468.37 = 605.88 : x
  2. Step 2: Convert to fraction form
    1,647.31/2,468.37 = 605.88/x
  3. Step 3: Cross multiply
    1,647.31x = 2,468.37 × 605.88
  4. Step 4: Simplify right side
    1,647.31x = 1,495,536.02
  5. Step 5: Solve for x
    x = 1,495,536.02/1,647.31
  6. Step 6: Final answer
    x = 907.87

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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.