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Finding the Fourth Proportional to 673.86, 929.04 and 463.65

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Solution

The fourth proportional to 673.86, 929.04 and 463.65 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.86 : 929.04 = 463.65 : x
  2. Step 2: Convert to fraction form
    673.86/929.04 = 463.65/x
  3. Step 3: Cross multiply
    673.86x = 929.04 × 463.65
  4. Step 4: Simplify right side
    673.86x = 430,749.40
  5. Step 5: Solve for x
    x = 430,749.40/673.86
  6. Step 6: Final answer
    x = 639.23

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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.