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Finding the Fourth Proportional to 489.01, 729.84 and 422.83

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Solution

The fourth proportional to 489.01, 729.84 and 422.83 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.01 : 729.84 = 422.83 : x
  2. Step 2: Convert to fraction form
    489.01/729.84 = 422.83/x
  3. Step 3: Cross multiply
    489.01x = 729.84 × 422.83
  4. Step 4: Simplify right side
    489.01x = 308,600.89
  5. Step 5: Solve for x
    x = 308,600.89/489.01
  6. Step 6: Final answer
    x = 631.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.