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Finding the Fourth Proportional to 1,011.17, 1,516.77 and 317.82

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Solution

The fourth proportional to 1,011.17, 1,516.77 and 317.82 is: 476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.17 : 1,516.77 = 317.82 : x
  2. Step 2: Convert to fraction form
    1,011.17/1,516.77 = 317.82/x
  3. Step 3: Cross multiply
    1,011.17x = 1,516.77 × 317.82
  4. Step 4: Simplify right side
    1,011.17x = 482,059.84
  5. Step 5: Solve for x
    x = 482,059.84/1,011.17
  6. Step 6: Final answer
    x = 476.73

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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.