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Finding the Fourth Proportional to 656.94, 906.04 and 491.55

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Solution

The fourth proportional to 656.94, 906.04 and 491.55 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.94 : 906.04 = 491.55 : x
  2. Step 2: Convert to fraction form
    656.94/906.04 = 491.55/x
  3. Step 3: Cross multiply
    656.94x = 906.04 × 491.55
  4. Step 4: Simplify right side
    656.94x = 445,363.51
  5. Step 5: Solve for x
    x = 445,363.51/656.94
  6. Step 6: Final answer
    x = 677.93

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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.