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Finding the Fourth Proportional to 489.02, 729.32 and 416.35

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Solution

The fourth proportional to 489.02, 729.32 and 416.35 is: 620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.02 : 729.32 = 416.35 : x
  2. Step 2: Convert to fraction form
    489.02/729.32 = 416.35/x
  3. Step 3: Cross multiply
    489.02x = 729.32 × 416.35
  4. Step 4: Simplify right side
    489.02x = 303,651.21
  5. Step 5: Solve for x
    x = 303,651.21/489.02
  6. Step 6: Final answer
    x = 620.94

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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.