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Finding the Fourth Proportional to 953.94, 1,316.09 and 580.78

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Solution

The fourth proportional to 953.94, 1,316.09 and 580.78 is: 801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.94 : 1,316.09 = 580.78 : x
  2. Step 2: Convert to fraction form
    953.94/1,316.09 = 580.78/x
  3. Step 3: Cross multiply
    953.94x = 1,316.09 × 580.78
  4. Step 4: Simplify right side
    953.94x = 764,358.75
  5. Step 5: Solve for x
    x = 764,358.75/953.94
  6. Step 6: Final answer
    x = 801.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.