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Finding the Fourth Proportional to 953.17, 1,427.20 and 923.46

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Solution

The fourth proportional to 953.17, 1,427.20 and 923.46 is: 1,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.17 : 1,427.20 = 923.46 : x
  2. Step 2: Convert to fraction form
    953.17/1,427.20 = 923.46/x
  3. Step 3: Cross multiply
    953.17x = 1,427.20 × 923.46
  4. Step 4: Simplify right side
    953.17x = 1,317,959.65
  5. Step 5: Solve for x
    x = 1,317,959.65/953.17
  6. Step 6: Final answer
    x = 1,382.71

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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.