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Finding the Fourth Proportional to 665.46, 1,004.00 and 663.66

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Solution

The fourth proportional to 665.46, 1,004.00 and 663.66 is: 1,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.46 : 1,004.00 = 663.66 : x
  2. Step 2: Convert to fraction form
    665.46/1,004.00 = 663.66/x
  3. Step 3: Cross multiply
    665.46x = 1,004.00 × 663.66
  4. Step 4: Simplify right side
    665.46x = 666,311.32
  5. Step 5: Solve for x
    x = 666,311.32/665.46
  6. Step 6: Final answer
    x = 1,001.28

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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.