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Finding the Fourth Proportional to 1,011.10, 1,515.91 and 317.39

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Solution

The fourth proportional to 1,011.10, 1,515.91 and 317.39 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.10 : 1,515.91 = 317.39 : x
  2. Step 2: Convert to fraction form
    1,011.10/1,515.91 = 317.39/x
  3. Step 3: Cross multiply
    1,011.10x = 1,515.91 × 317.39
  4. Step 4: Simplify right side
    1,011.10x = 481,133.09
  5. Step 5: Solve for x
    x = 481,133.09/1,011.10
  6. Step 6: Final answer
    x = 475.85

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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.