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Finding the Fourth Proportional to 826.65, 1,240.79 and 307.17

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Solution

The fourth proportional to 826.65, 1,240.79 and 307.17 is: 461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.65 : 1,240.79 = 307.17 : x
  2. Step 2: Convert to fraction form
    826.65/1,240.79 = 307.17/x
  3. Step 3: Cross multiply
    826.65x = 1,240.79 × 307.17
  4. Step 4: Simplify right side
    826.65x = 381,131.93
  5. Step 5: Solve for x
    x = 381,131.93/826.65
  6. Step 6: Final answer
    x = 461.06

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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.