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Finding the Fourth Proportional to 657.24, 906.82 and 458.45

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Solution

The fourth proportional to 657.24, 906.82 and 458.45 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.24 : 906.82 = 458.45 : x
  2. Step 2: Convert to fraction form
    657.24/906.82 = 458.45/x
  3. Step 3: Cross multiply
    657.24x = 906.82 × 458.45
  4. Step 4: Simplify right side
    657.24x = 415,731.63
  5. Step 5: Solve for x
    x = 415,731.63/657.24
  6. Step 6: Final answer
    x = 632.54

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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.