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Finding the Fourth Proportional to 656.77, 905.49 and 538.31

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Solution

The fourth proportional to 656.77, 905.49 and 538.31 is: 742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.77 : 905.49 = 538.31 : x
  2. Step 2: Convert to fraction form
    656.77/905.49 = 538.31/x
  3. Step 3: Cross multiply
    656.77x = 905.49 × 538.31
  4. Step 4: Simplify right side
    656.77x = 487,429.79
  5. Step 5: Solve for x
    x = 487,429.79/656.77
  6. Step 6: Final answer
    x = 742.16

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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.