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Finding the Fourth Proportional to 673.89, 931.82 and 662.91

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Solution

The fourth proportional to 673.89, 931.82 and 662.91 is: 916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.89 : 931.82 = 662.91 : x
  2. Step 2: Convert to fraction form
    673.89/931.82 = 662.91/x
  3. Step 3: Cross multiply
    673.89x = 931.82 × 662.91
  4. Step 4: Simplify right side
    673.89x = 617,709.48
  5. Step 5: Solve for x
    x = 617,709.48/673.89
  6. Step 6: Final answer
    x = 916.63

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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.