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Finding the Fourth Proportional to 524.41, 786.13 and 488.86

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Solution

The fourth proportional to 524.41, 786.13 and 488.86 is: 732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.41 : 786.13 = 488.86 : x
  2. Step 2: Convert to fraction form
    524.41/786.13 = 488.86/x
  3. Step 3: Cross multiply
    524.41x = 786.13 × 488.86
  4. Step 4: Simplify right side
    524.41x = 384,304.32
  5. Step 5: Solve for x
    x = 384,304.32/524.41
  6. Step 6: Final answer
    x = 732.84

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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.