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Finding the Fourth Proportional to 489.49, 671.89 and 432.99

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Solution

The fourth proportional to 489.49, 671.89 and 432.99 is: 594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.49 : 671.89 = 432.99 : x
  2. Step 2: Convert to fraction form
    489.49/671.89 = 432.99/x
  3. Step 3: Cross multiply
    489.49x = 671.89 × 432.99
  4. Step 4: Simplify right side
    489.49x = 290,921.65
  5. Step 5: Solve for x
    x = 290,921.65/489.49
  6. Step 6: Final answer
    x = 594.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.