Home / 1,210.31-1,815.78-516.63

Finding the Fourth Proportional to 1,210.31, 1,815.78 and 516.63

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Solution

The fourth proportional to 1,210.31, 1,815.78 and 516.63 is: 775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.31 : 1,815.78 = 516.63 : x
  2. Step 2: Convert to fraction form
    1,210.31/1,815.78 = 516.63/x
  3. Step 3: Cross multiply
    1,210.31x = 1,815.78 × 516.63
  4. Step 4: Simplify right side
    1,210.31x = 938,086.42
  5. Step 5: Solve for x
    x = 938,086.42/1,210.31
  6. Step 6: Final answer
    x = 775.08

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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.