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Finding the Fourth Proportional to 647.59, 971.16 and 443.47

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Solution

The fourth proportional to 647.59, 971.16 and 443.47 is: 665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.59 : 971.16 = 443.47 : x
  2. Step 2: Convert to fraction form
    647.59/971.16 = 443.47/x
  3. Step 3: Cross multiply
    647.59x = 971.16 × 443.47
  4. Step 4: Simplify right side
    647.59x = 430,680.33
  5. Step 5: Solve for x
    x = 430,680.33/647.59
  6. Step 6: Final answer
    x = 665.05

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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.