Home / 1,612.16-2,417.85-516.30

Finding the Fourth Proportional to 1,612.16, 2,417.85 and 516.30

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Solution

The fourth proportional to 1,612.16, 2,417.85 and 516.30 is: 774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.16 : 2,417.85 = 516.30 : x
  2. Step 2: Convert to fraction form
    1,612.16/2,417.85 = 516.30/x
  3. Step 3: Cross multiply
    1,612.16x = 2,417.85 × 516.30
  4. Step 4: Simplify right side
    1,612.16x = 1,248,335.96
  5. Step 5: Solve for x
    x = 1,248,335.96/1,612.16
  6. Step 6: Final answer
    x = 774.33

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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.