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Finding the Fourth Proportional to 480.92, 661.32 and 428.60

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Solution

The fourth proportional to 480.92, 661.32 and 428.60 is: 589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.92 : 661.32 = 428.60 : x
  2. Step 2: Convert to fraction form
    480.92/661.32 = 428.60/x
  3. Step 3: Cross multiply
    480.92x = 661.32 × 428.60
  4. Step 4: Simplify right side
    480.92x = 283,441.75
  5. Step 5: Solve for x
    x = 283,441.75/480.92
  6. Step 6: Final answer
    x = 589.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.