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Finding the Fourth Proportional to 480.51, 720.85 and 366.38

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Solution

The fourth proportional to 480.51, 720.85 and 366.38 is: 549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.51 : 720.85 = 366.38 : x
  2. Step 2: Convert to fraction form
    480.51/720.85 = 366.38/x
  3. Step 3: Cross multiply
    480.51x = 720.85 × 366.38
  4. Step 4: Simplify right side
    480.51x = 264,100.50
  5. Step 5: Solve for x
    x = 264,100.50/480.51
  6. Step 6: Final answer
    x = 549.63

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Why These Related Problems?

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