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Finding the Fourth Proportional to 480.41, 720.61 and 155.77

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Solution

The fourth proportional to 480.41, 720.61 and 155.77 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.41 : 720.61 = 155.77 : x
  2. Step 2: Convert to fraction form
    480.41/720.61 = 155.77/x
  3. Step 3: Cross multiply
    480.41x = 720.61 × 155.77
  4. Step 4: Simplify right side
    480.41x = 112,249.42
  5. Step 5: Solve for x
    x = 112,249.42/480.41
  6. Step 6: Final answer
    x = 233.65

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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.