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Finding the Fourth Proportional to 673.21, 1,007.89 and 456.40

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Solution

The fourth proportional to 673.21, 1,007.89 and 456.40 is: 683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.21 : 1,007.89 = 456.40 : x
  2. Step 2: Convert to fraction form
    673.21/1,007.89 = 456.40/x
  3. Step 3: Cross multiply
    673.21x = 1,007.89 × 456.40
  4. Step 4: Simplify right side
    673.21x = 460,001.00
  5. Step 5: Solve for x
    x = 460,001.00/673.21
  6. Step 6: Final answer
    x = 683.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.