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Finding the Fourth Proportional to 657.54, 906.64 and 491.47

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Solution

The fourth proportional to 657.54, 906.64 and 491.47 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.54 : 906.64 = 491.47 : x
  2. Step 2: Convert to fraction form
    657.54/906.64 = 491.47/x
  3. Step 3: Cross multiply
    657.54x = 906.64 × 491.47
  4. Step 4: Simplify right side
    657.54x = 445,586.36
  5. Step 5: Solve for x
    x = 445,586.36/657.54
  6. Step 6: Final answer
    x = 677.66

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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.