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Finding the Fourth Proportional to 635.31, 950.94 and 578.61

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Solution

The fourth proportional to 635.31, 950.94 and 578.61 is: 866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.31 : 950.94 = 578.61 : x
  2. Step 2: Convert to fraction form
    635.31/950.94 = 578.61/x
  3. Step 3: Cross multiply
    635.31x = 950.94 × 578.61
  4. Step 4: Simplify right side
    635.31x = 550,223.39
  5. Step 5: Solve for x
    x = 550,223.39/635.31
  6. Step 6: Final answer
    x = 866.07

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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.