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Finding the Fourth Proportional to 950.49, 1,421.68 and 687.55

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Solution

The fourth proportional to 950.49, 1,421.68 and 687.55 is: 1,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.49 : 1,421.68 = 687.55 : x
  2. Step 2: Convert to fraction form
    950.49/1,421.68 = 687.55/x
  3. Step 3: Cross multiply
    950.49x = 1,421.68 × 687.55
  4. Step 4: Simplify right side
    950.49x = 977,476.08
  5. Step 5: Solve for x
    x = 977,476.08/950.49
  6. Step 6: Final answer
    x = 1,028.39

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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.