Home / 1,011.14-1,516.59-317.78

Finding the Fourth Proportional to 1,011.14, 1,516.59 and 317.78

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Solution

The fourth proportional to 1,011.14, 1,516.59 and 317.78 is: 476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.14 : 1,516.59 = 317.78 : x
  2. Step 2: Convert to fraction form
    1,011.14/1,516.59 = 317.78/x
  3. Step 3: Cross multiply
    1,011.14x = 1,516.59 × 317.78
  4. Step 4: Simplify right side
    1,011.14x = 481,934.39
  5. Step 5: Solve for x
    x = 481,934.39/1,011.14
  6. Step 6: Final answer
    x = 476.63

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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.