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Finding the Fourth Proportional to 656.27, 905.64 and 357.51

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Solution

The fourth proportional to 656.27, 905.64 and 357.51 is: 493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.27 : 905.64 = 357.51 : x
  2. Step 2: Convert to fraction form
    656.27/905.64 = 357.51/x
  3. Step 3: Cross multiply
    656.27x = 905.64 × 357.51
  4. Step 4: Simplify right side
    656.27x = 323,775.36
  5. Step 5: Solve for x
    x = 323,775.36/656.27
  6. Step 6: Final answer
    x = 493.36

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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.