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Finding the Fourth Proportional to 656.34, 905.70 and 376.51

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Solution

The fourth proportional to 656.34, 905.70 and 376.51 is: 519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 905.70 = 376.51 : x
  2. Step 2: Convert to fraction form
    656.34/905.70 = 376.51/x
  3. Step 3: Cross multiply
    656.34x = 905.70 × 376.51
  4. Step 4: Simplify right side
    656.34x = 341,005.11
  5. Step 5: Solve for x
    x = 341,005.11/656.34
  6. Step 6: Final answer
    x = 519.56

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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.