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Finding the Fourth Proportional to 675.44, 929.69 and 478.61

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Solution

The fourth proportional to 675.44, 929.69 and 478.61 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.44 : 929.69 = 478.61 : x
  2. Step 2: Convert to fraction form
    675.44/929.69 = 478.61/x
  3. Step 3: Cross multiply
    675.44x = 929.69 × 478.61
  4. Step 4: Simplify right side
    675.44x = 444,955.48
  5. Step 5: Solve for x
    x = 444,955.48/675.44
  6. Step 6: Final answer
    x = 658.77

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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.