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Finding the Fourth Proportional to 645.44, 889.64 and 458.32

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Solution

The fourth proportional to 645.44, 889.64 and 458.32 is: 631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 889.64 = 458.32 : x
  2. Step 2: Convert to fraction form
    645.44/889.64 = 458.32/x
  3. Step 3: Cross multiply
    645.44x = 889.64 × 458.32
  4. Step 4: Simplify right side
    645.44x = 407,739.80
  5. Step 5: Solve for x
    x = 407,739.80/645.44
  6. Step 6: Final answer
    x = 631.72

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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.