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Finding the Fourth Proportional to 950.22, 1,312.47 and 687.78

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Solution

The fourth proportional to 950.22, 1,312.47 and 687.78 is: 949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.22 : 1,312.47 = 687.78 : x
  2. Step 2: Convert to fraction form
    950.22/1,312.47 = 687.78/x
  3. Step 3: Cross multiply
    950.22x = 1,312.47 × 687.78
  4. Step 4: Simplify right side
    950.22x = 902,690.62
  5. Step 5: Solve for x
    x = 902,690.62/950.22
  6. Step 6: Final answer
    x = 949.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.