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Finding the Fourth Proportional to 1,649.89, 2,473.36 and 712.90

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Solution

The fourth proportional to 1,649.89, 2,473.36 and 712.90 is: 1,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.89 : 2,473.36 = 712.90 : x
  2. Step 2: Convert to fraction form
    1,649.89/2,473.36 = 712.90/x
  3. Step 3: Cross multiply
    1,649.89x = 2,473.36 × 712.90
  4. Step 4: Simplify right side
    1,649.89x = 1,763,261.66
  5. Step 5: Solve for x
    x = 1,763,261.66/1,649.89
  6. Step 6: Final answer
    x = 1,068.71

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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.