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Finding the Fourth Proportional to 952.39, 1,427.20 and 464.89

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Solution

The fourth proportional to 952.39, 1,427.20 and 464.89 is: 696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.39 : 1,427.20 = 464.89 : x
  2. Step 2: Convert to fraction form
    952.39/1,427.20 = 464.89/x
  3. Step 3: Cross multiply
    952.39x = 1,427.20 × 464.89
  4. Step 4: Simplify right side
    952.39x = 663,491.01
  5. Step 5: Solve for x
    x = 663,491.01/952.39
  6. Step 6: Final answer
    x = 696.66

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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.