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Finding the Fourth Proportional to 950.94, 1,310.58 and 688.50

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Solution

The fourth proportional to 950.94, 1,310.58 and 688.50 is: 948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.94 : 1,310.58 = 688.50 : x
  2. Step 2: Convert to fraction form
    950.94/1,310.58 = 688.50/x
  3. Step 3: Cross multiply
    950.94x = 1,310.58 × 688.50
  4. Step 4: Simplify right side
    950.94x = 902,334.33
  5. Step 5: Solve for x
    x = 902,334.33/950.94
  6. Step 6: Final answer
    x = 948.89

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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.