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Finding the Fourth Proportional to 953.92, 1,431.08 and 376.76

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Solution

The fourth proportional to 953.92, 1,431.08 and 376.76 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.92 : 1,431.08 = 376.76 : x
  2. Step 2: Convert to fraction form
    953.92/1,431.08 = 376.76/x
  3. Step 3: Cross multiply
    953.92x = 1,431.08 × 376.76
  4. Step 4: Simplify right side
    953.92x = 539,173.70
  5. Step 5: Solve for x
    x = 539,173.70/953.92
  6. Step 6: Final answer
    x = 565.22

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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.