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Finding the Fourth Proportional to 670.56, 1,004.28 and 647.48

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Solution

The fourth proportional to 670.56, 1,004.28 and 647.48 is: 969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.56 : 1,004.28 = 647.48 : x
  2. Step 2: Convert to fraction form
    670.56/1,004.28 = 647.48/x
  3. Step 3: Cross multiply
    670.56x = 1,004.28 × 647.48
  4. Step 4: Simplify right side
    670.56x = 650,251.21
  5. Step 5: Solve for x
    x = 650,251.21/670.56
  6. Step 6: Final answer
    x = 969.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.