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Finding the Fourth Proportional to 524.55, 786.83 and 177.87

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Solution

The fourth proportional to 524.55, 786.83 and 177.87 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.55 : 786.83 = 177.87 : x
  2. Step 2: Convert to fraction form
    524.55/786.83 = 177.87/x
  3. Step 3: Cross multiply
    524.55x = 786.83 × 177.87
  4. Step 4: Simplify right side
    524.55x = 139,953.45
  5. Step 5: Solve for x
    x = 139,953.45/524.55
  6. Step 6: Final answer
    x = 266.81

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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.