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Finding the Fourth Proportional to 666.43, 993.08 and 647.62

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Solution

The fourth proportional to 666.43, 993.08 and 647.62 is: 965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.43 : 993.08 = 647.62 : x
  2. Step 2: Convert to fraction form
    666.43/993.08 = 647.62/x
  3. Step 3: Cross multiply
    666.43x = 993.08 × 647.62
  4. Step 4: Simplify right side
    666.43x = 643,137.61
  5. Step 5: Solve for x
    x = 643,137.61/666.43
  6. Step 6: Final answer
    x = 965.05

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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.