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Finding the Fourth Proportional to 673.21, 929.78 and 664.10

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Solution

The fourth proportional to 673.21, 929.78 and 664.10 is: 917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.21 : 929.78 = 664.10 : x
  2. Step 2: Convert to fraction form
    673.21/929.78 = 664.10/x
  3. Step 3: Cross multiply
    673.21x = 929.78 × 664.10
  4. Step 4: Simplify right side
    673.21x = 617,466.90
  5. Step 5: Solve for x
    x = 617,466.90/673.21
  6. Step 6: Final answer
    x = 917.20

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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.