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Finding the Fourth Proportional to 665.91, 1,004.70 and 660.45

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Solution

The fourth proportional to 665.91, 1,004.70 and 660.45 is: 996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 1,004.70 = 660.45 : x
  2. Step 2: Convert to fraction form
    665.91/1,004.70 = 660.45/x
  3. Step 3: Cross multiply
    665.91x = 1,004.70 × 660.45
  4. Step 4: Simplify right side
    665.91x = 663,554.12
  5. Step 5: Solve for x
    x = 663,554.12/665.91
  6. Step 6: Final answer
    x = 996.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.