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Finding the Fourth Proportional to 953.28, 1,313.46 and 657.96

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Solution

The fourth proportional to 953.28, 1,313.46 and 657.96 is: 906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.28 : 1,313.46 = 657.96 : x
  2. Step 2: Convert to fraction form
    953.28/1,313.46 = 657.96/x
  3. Step 3: Cross multiply
    953.28x = 1,313.46 × 657.96
  4. Step 4: Simplify right side
    953.28x = 864,204.14
  5. Step 5: Solve for x
    x = 864,204.14/953.28
  6. Step 6: Final answer
    x = 906.56

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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.