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Finding the Fourth Proportional to 951.98, 1,313.43 and 657.14

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Solution

The fourth proportional to 951.98, 1,313.43 and 657.14 is: 906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.98 : 1,313.43 = 657.14 : x
  2. Step 2: Convert to fraction form
    951.98/1,313.43 = 657.14/x
  3. Step 3: Cross multiply
    951.98x = 1,313.43 × 657.14
  4. Step 4: Simplify right side
    951.98x = 863,107.39
  5. Step 5: Solve for x
    x = 863,107.39/951.98
  6. Step 6: Final answer
    x = 906.64

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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.