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Finding the Fourth Proportional to 676.45, 931.75 and 631.09

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Solution

The fourth proportional to 676.45, 931.75 and 631.09 is: 869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.45 : 931.75 = 631.09 : x
  2. Step 2: Convert to fraction form
    676.45/931.75 = 631.09/x
  3. Step 3: Cross multiply
    676.45x = 931.75 × 631.09
  4. Step 4: Simplify right side
    676.45x = 588,021.24
  5. Step 5: Solve for x
    x = 588,021.24/676.45
  6. Step 6: Final answer
    x = 869.27

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1.5x scale

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.