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Finding the Fourth Proportional to 669.59, 997.81 and 647.57

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Solution

The fourth proportional to 669.59, 997.81 and 647.57 is: 964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.59 : 997.81 = 647.57 : x
  2. Step 2: Convert to fraction form
    669.59/997.81 = 647.57/x
  3. Step 3: Cross multiply
    669.59x = 997.81 × 647.57
  4. Step 4: Simplify right side
    669.59x = 646,143.59
  5. Step 5: Solve for x
    x = 646,143.59/669.59
  6. Step 6: Final answer
    x = 964.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.