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Finding the Fourth Proportional to 443.57, 665.55 and 431.82

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Solution

The fourth proportional to 443.57, 665.55 and 431.82 is: 647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.57 : 665.55 = 431.82 : x
  2. Step 2: Convert to fraction form
    443.57/665.55 = 431.82/x
  3. Step 3: Cross multiply
    443.57x = 665.55 × 431.82
  4. Step 4: Simplify right side
    443.57x = 287,397.80
  5. Step 5: Solve for x
    x = 287,397.80/443.57
  6. Step 6: Final answer
    x = 647.93

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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.