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Finding the Fourth Proportional to 953.76, 1,431.84 and 949.92

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Solution

The fourth proportional to 953.76, 1,431.84 and 949.92 is: 1,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.76 : 1,431.84 = 949.92 : x
  2. Step 2: Convert to fraction form
    953.76/1,431.84 = 949.92/x
  3. Step 3: Cross multiply
    953.76x = 1,431.84 × 949.92
  4. Step 4: Simplify right side
    953.76x = 1,360,133.45
  5. Step 5: Solve for x
    x = 1,360,133.45/953.76
  6. Step 6: Final answer
    x = 1,426.08

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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.