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Finding the Fourth Proportional to 1,610.97, 2,416.87 and 515.35

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Solution

The fourth proportional to 1,610.97, 2,416.87 and 515.35 is: 773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.97 : 2,416.87 = 515.35 : x
  2. Step 2: Convert to fraction form
    1,610.97/2,416.87 = 515.35/x
  3. Step 3: Cross multiply
    1,610.97x = 2,416.87 × 515.35
  4. Step 4: Simplify right side
    1,610.97x = 1,245,533.95
  5. Step 5: Solve for x
    x = 1,245,533.95/1,610.97
  6. Step 6: Final answer
    x = 773.16

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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.