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Finding the Fourth Proportional to 489.51, 737.16 and 408.02

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Solution

The fourth proportional to 489.51, 737.16 and 408.02 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.51 : 737.16 = 408.02 : x
  2. Step 2: Convert to fraction form
    489.51/737.16 = 408.02/x
  3. Step 3: Cross multiply
    489.51x = 737.16 × 408.02
  4. Step 4: Simplify right side
    489.51x = 300,772.34
  5. Step 5: Solve for x
    x = 300,772.34/489.51
  6. Step 6: Final answer
    x = 614.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.