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Finding the Fourth Proportional to 524.36, 785.64 and 361.46

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Solution

The fourth proportional to 524.36, 785.64 and 361.46 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 785.64 = 361.46 : x
  2. Step 2: Convert to fraction form
    524.36/785.64 = 361.46/x
  3. Step 3: Cross multiply
    524.36x = 785.64 × 361.46
  4. Step 4: Simplify right side
    524.36x = 283,977.43
  5. Step 5: Solve for x
    x = 283,977.43/524.36
  6. Step 6: Final answer
    x = 541.57

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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.