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Finding the Fourth Proportional to 489.60, 737.64 and 450.24

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Solution

The fourth proportional to 489.60, 737.64 and 450.24 is: 678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.60 : 737.64 = 450.24 : x
  2. Step 2: Convert to fraction form
    489.60/737.64 = 450.24/x
  3. Step 3: Cross multiply
    489.60x = 737.64 × 450.24
  4. Step 4: Simplify right side
    489.60x = 332,115.03
  5. Step 5: Solve for x
    x = 332,115.03/489.60
  6. Step 6: Final answer
    x = 678.34

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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.