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Finding the Fourth Proportional to 651.70, 975.12 and 361.72

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Solution

The fourth proportional to 651.70, 975.12 and 361.72 is: 541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 975.12 = 361.72 : x
  2. Step 2: Convert to fraction form
    651.70/975.12 = 361.72/x
  3. Step 3: Cross multiply
    651.70x = 975.12 × 361.72
  4. Step 4: Simplify right side
    651.70x = 352,720.41
  5. Step 5: Solve for x
    x = 352,720.41/651.70
  6. Step 6: Final answer
    x = 541.23

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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.