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Finding the Fourth Proportional to 483.14, 665.54 and 458.44

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Solution

The fourth proportional to 483.14, 665.54 and 458.44 is: 631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.14 : 665.54 = 458.44 : x
  2. Step 2: Convert to fraction form
    483.14/665.54 = 458.44/x
  3. Step 3: Cross multiply
    483.14x = 665.54 × 458.44
  4. Step 4: Simplify right side
    483.14x = 305,110.16
  5. Step 5: Solve for x
    x = 305,110.16/483.14
  6. Step 6: Final answer
    x = 631.52

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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.