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Finding the Fourth Proportional to 489.01, 674.61 and 433.05

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Solution

The fourth proportional to 489.01, 674.61 and 433.05 is: 597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.01 : 674.61 = 433.05 : x
  2. Step 2: Convert to fraction form
    489.01/674.61 = 433.05/x
  3. Step 3: Cross multiply
    489.01x = 674.61 × 433.05
  4. Step 4: Simplify right side
    489.01x = 292,143.55
  5. Step 5: Solve for x
    x = 292,143.55/489.01
  6. Step 6: Final answer
    x = 597.41

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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.