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Finding the Fourth Proportional to 668.64, 1,006.78 and 487.28

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Solution

The fourth proportional to 668.64, 1,006.78 and 487.28 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 1,006.78 = 487.28 : x
  2. Step 2: Convert to fraction form
    668.64/1,006.78 = 487.28/x
  3. Step 3: Cross multiply
    668.64x = 1,006.78 × 487.28
  4. Step 4: Simplify right side
    668.64x = 490,583.76
  5. Step 5: Solve for x
    x = 490,583.76/668.64
  6. Step 6: Final answer
    x = 733.70

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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.