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Finding the Fourth Proportional to 675.31, 929.34 and 656.28

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Solution

The fourth proportional to 675.31, 929.34 and 656.28 is: 903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.31 : 929.34 = 656.28 : x
  2. Step 2: Convert to fraction form
    675.31/929.34 = 656.28/x
  3. Step 3: Cross multiply
    675.31x = 929.34 × 656.28
  4. Step 4: Simplify right side
    675.31x = 609,906.23
  5. Step 5: Solve for x
    x = 609,906.23/675.31
  6. Step 6: Final answer
    x = 903.15

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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.