Home / 1,686.02-2,529.41-516.19

Finding the Fourth Proportional to 1,686.02, 2,529.41 and 516.19

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Solution

The fourth proportional to 1,686.02, 2,529.41 and 516.19 is: 774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.02 : 2,529.41 = 516.19 : x
  2. Step 2: Convert to fraction form
    1,686.02/2,529.41 = 516.19/x
  3. Step 3: Cross multiply
    1,686.02x = 2,529.41 × 516.19
  4. Step 4: Simplify right side
    1,686.02x = 1,305,654.89
  5. Step 5: Solve for x
    x = 1,305,654.89/1,686.02
  6. Step 6: Final answer
    x = 774.40

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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.