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Finding the Fourth Proportional to 651.20, 897.52 and 464.80

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Solution

The fourth proportional to 651.20, 897.52 and 464.80 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.20 : 897.52 = 464.80 : x
  2. Step 2: Convert to fraction form
    651.20/897.52 = 464.80/x
  3. Step 3: Cross multiply
    651.20x = 897.52 × 464.80
  4. Step 4: Simplify right side
    651.20x = 417,167.30
  5. Step 5: Solve for x
    x = 417,167.30/651.20
  6. Step 6: Final answer
    x = 640.61

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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.