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Finding the Fourth Proportional to 489.15, 673.49 and 433.08

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Solution

The fourth proportional to 489.15, 673.49 and 433.08 is: 596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.15 : 673.49 = 433.08 : x
  2. Step 2: Convert to fraction form
    489.15/673.49 = 433.08/x
  3. Step 3: Cross multiply
    489.15x = 673.49 × 433.08
  4. Step 4: Simplify right side
    489.15x = 291,672.88
  5. Step 5: Solve for x
    x = 291,672.88/489.15
  6. Step 6: Final answer
    x = 596.29

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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.