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Finding the Fourth Proportional to 489.72, 732.84 and 422.06

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Solution

The fourth proportional to 489.72, 732.84 and 422.06 is: 631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.72 : 732.84 = 422.06 : x
  2. Step 2: Convert to fraction form
    489.72/732.84 = 422.06/x
  3. Step 3: Cross multiply
    489.72x = 732.84 × 422.06
  4. Step 4: Simplify right side
    489.72x = 309,298.79
  5. Step 5: Solve for x
    x = 309,298.79/489.72
  6. Step 6: Final answer
    x = 631.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.