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Finding the Fourth Proportional to 651.46, 898.96 and 371.64

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Solution

The fourth proportional to 651.46, 898.96 and 371.64 is: 512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.46 : 898.96 = 371.64 : x
  2. Step 2: Convert to fraction form
    651.46/898.96 = 371.64/x
  3. Step 3: Cross multiply
    651.46x = 898.96 × 371.64
  4. Step 4: Simplify right side
    651.46x = 334,089.49
  5. Step 5: Solve for x
    x = 334,089.49/651.46
  6. Step 6: Final answer
    x = 512.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.