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Finding the Fourth Proportional to 1,610.94, 2,416.47 and 515.31

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Solution

The fourth proportional to 1,610.94, 2,416.47 and 515.31 is: 772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.94 : 2,416.47 = 515.31 : x
  2. Step 2: Convert to fraction form
    1,610.94/2,416.47 = 515.31/x
  3. Step 3: Cross multiply
    1,610.94x = 2,416.47 × 515.31
  4. Step 4: Simplify right side
    1,610.94x = 1,245,231.16
  5. Step 5: Solve for x
    x = 1,245,231.16/1,610.94
  6. Step 6: Final answer
    x = 772.98

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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.