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Finding the Fourth Proportional to 460.44, 689.68 and 297.64

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Solution

The fourth proportional to 460.44, 689.68 and 297.64 is: 445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 689.68 = 297.64 : x
  2. Step 2: Convert to fraction form
    460.44/689.68 = 297.64/x
  3. Step 3: Cross multiply
    460.44x = 689.68 × 297.64
  4. Step 4: Simplify right side
    460.44x = 205,276.36
  5. Step 5: Solve for x
    x = 205,276.36/460.44
  6. Step 6: Final answer
    x = 445.83

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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.