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Finding the Fourth Proportional to 1,610.12, 2,415.20 and 514.58

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Solution

The fourth proportional to 1,610.12, 2,415.20 and 514.58 is: 771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.12 : 2,415.20 = 514.58 : x
  2. Step 2: Convert to fraction form
    1,610.12/2,415.20 = 514.58/x
  3. Step 3: Cross multiply
    1,610.12x = 2,415.20 × 514.58
  4. Step 4: Simplify right side
    1,610.12x = 1,242,813.62
  5. Step 5: Solve for x
    x = 1,242,813.62/1,610.12
  6. Step 6: Final answer
    x = 771.88

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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.