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Finding the Fourth Proportional to 953.64, 1,316.34 and 580.86

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Solution

The fourth proportional to 953.64, 1,316.34 and 580.86 is: 801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.64 : 1,316.34 = 580.86 : x
  2. Step 2: Convert to fraction form
    953.64/1,316.34 = 580.86/x
  3. Step 3: Cross multiply
    953.64x = 1,316.34 × 580.86
  4. Step 4: Simplify right side
    953.64x = 764,609.25
  5. Step 5: Solve for x
    x = 764,609.25/953.64
  6. Step 6: Final answer
    x = 801.78

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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.