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Finding the Fourth Proportional to 950.58, 1,427.30 and 775.42

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Solution

The fourth proportional to 950.58, 1,427.30 and 775.42 is: 1,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.58 : 1,427.30 = 775.42 : x
  2. Step 2: Convert to fraction form
    950.58/1,427.30 = 775.42/x
  3. Step 3: Cross multiply
    950.58x = 1,427.30 × 775.42
  4. Step 4: Simplify right side
    950.58x = 1,106,755.34
  5. Step 5: Solve for x
    x = 1,106,755.34/950.58
  6. Step 6: Final answer
    x = 1,164.29

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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.